Academic literature on the topic 'Hecke'

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Journal articles on the topic "Hecke"

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Hyodo, Fumitake. "A formal power series of a Hecke ring associated with the Heisenberg lie algebra over ℤp." International Journal of Number Theory 11, no. 08 (November 5, 2015): 2305–23. http://dx.doi.org/10.1142/s1793042115501055.

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This paper studies a formal power series with coefficients in a Hecke ring associated with the Heisenberg Lie algebra. We relate the series to the classical Hecke series defined by Hecke, and prove that the series has a property similar to the rationality theorem of the classical Hecke series. And then, our results recover the rationality theorem of the classical Hecke series.
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Orellana, R. C. "Weights of Markov traces on Hecke algebras." Journal für die reine und angewandte Mathematik (Crelles Journal) 1999, no. 508 (March 12, 1999): 157–78. http://dx.doi.org/10.1515/crll.1999.508.157.

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Abstract We compute the weights, i.e. the values at the minimal idempotents, for the Markov trace on the Hecke algebra of type Bn and type Dn. In order to prove the weight formula, we define representations of the Hecke algebra of type B onto a reduced Hecke algebra of type A. To compute the weights for type D we use the inclusion of the Hecke algebra of type D into the Hecke algebra of type B.
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Kaymak, Şule, Bilal Demır, Özden Koruoğlu, and Recep Şahin. "Commutator Subgroups of Generalized Hecke and Extended Generalized Hecke Groups." Analele Universitatii "Ovidius" Constanta - Seria Matematica 26, no. 1 (March 1, 2018): 159–68. http://dx.doi.org/10.2478/auom-2018-0010.

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Abstract Let p and q be integers such that 2 ≤ p ≤ q; p + q > 4 and let Hp,q be the generalized Hecke group associated to p and q: The generalized Hecke group Hp,q is generated by X(z) = -(z-λp)-1 and Y (z) = -(z+ λq)-1 where λp = 2 cos ≤ π/p and λq = 2 cos π/q . The extended generalized Hecke group H̅p,q is obtained by adding the reection R(z) = 1/z̅ to the generators of generalized Hecke group Hp,q: In this paper, we study the commutator subgroups of generalized Hecke groups Hp,q and extended generalized Hecke groups H̅p,q.
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McGerty, Kevin. "On the centre of the cyclotomic Hecke algebra of G(m, 1, 2)." Proceedings of the Edinburgh Mathematical Society 55, no. 2 (April 12, 2012): 497–506. http://dx.doi.org/10.1017/s0013091510001264.

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AbstractWe compute the centre of the cyclotomic Hecke algebra attached to G(m, 1, 2) and show that if q ≠ 1, it is equal to the image of the centre of the affine Hecke algebra Haff2. We also briefly discuss what is known about the relation between the centre of an arbitrary cyclotomic Hecke algebra and the centre of the affine Hecke algebra of type A.
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Lee, Kyu-Hwan. "Iwahori-Hecke Algebras of SL2 over 2-Dimensional Local Fields." Canadian Journal of Mathematics 62, no. 6 (December 14, 2010): 1310–24. http://dx.doi.org/10.4153/cjm-2010-072-x.

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AbstractIn this paper we construct an analogue of Iwahori–Hecke algebras of SL2 over 2-dimensional local fields. After considering coset decompositions of double cosets of a Iwahori subgroup, we define a convolution product on the space of certain functions on SL2, and prove that the product is well-defined, obtaining a Hecke algebra. Then we investigate the structure of the Hecke algebra. We determine the center of the Hecke algebra and consider Iwahori–Matsumoto type relations.
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Hsu, Chi-Yun. "Fourier coefficients of the overconvergent generalized eigenform associated to a CM form." International Journal of Number Theory 16, no. 06 (February 11, 2020): 1185–97. http://dx.doi.org/10.1142/s1793042120500608.

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Let [Formula: see text] be a modular form with complex multiplication. If [Formula: see text] has critical slope, then Coleman’s classicality theorem implies that there is a [Formula: see text]-adic overconvergent generalized Hecke eigenform with the same Hecke eigenvalues as [Formula: see text]. We give a formula for the Fourier coefficients of this generalized Hecke eigenform. We also investigate the dimension of the generalized Hecke eigenspace of [Formula: see text]-adic overconvergent forms containing [Formula: see text].
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Khare, Chandrashekhar, and Niccoló Ronchetti. "Derived Hecke action at p and the ordinary p -adic cohomology of arithmetic manifolds." American Journal of Mathematics 145, no. 6 (December 2023): 1631–94. http://dx.doi.org/10.1353/ajm.2023.a913294.

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Abstract: We study the derived Hecke action at $p$ on the ordinary $p$-adic cohomology of arithmetic subgroups of reductive groups ${\rm G}(\Bbb{Q})$. This is the analog at $\ell=p$ of derived Hecke actions studied by Venkatesh in the tame case, and is the derived analog of Hida's theory for ordinary Hecke algebras. We show that properties of the derived Hecke action at $p$ are related to deep conjectures in Galois cohomology which are higher analogs of the classical Leopoldt conjecture.
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Clozel, Laurent, Hee Oh, and Emmanuel Ullmo. "Hecke operators and equidistribution of Hecke points." Inventiones Mathematicae 144, no. 2 (May 1, 2001): 327–51. http://dx.doi.org/10.1007/s002220100126.

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Choi, SoYoung, and Chang Heon Kim. "Weakly holomorphic Hecke eigenforms and Hecke eigenpolynomials." Advances in Mathematics 290 (February 2016): 144–62. http://dx.doi.org/10.1016/j.aim.2015.12.002.

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Ciubotaru, Dan, Eric M. Opdam, and Peter E. Trapa. "Algebraic and analytic Dirac induction for graded affine Hecke algebras." Journal of the Institute of Mathematics of Jussieu 13, no. 3 (March 13, 2013): 447–86. http://dx.doi.org/10.1017/s147474801300008x.

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AbstractWe define the algebraic Dirac induction map ${\mathrm{Ind} }_{D} $ for graded affine Hecke algebras. The map ${\mathrm{Ind} }_{D} $ is a Hecke algebra analog of the explicit realization of the Baum–Connes assembly map in the $K$-theory of the reduced ${C}^{\ast } $-algebra of a real reductive group using Dirac operators. The definition of ${\mathrm{Ind} }_{D} $ is uniform over the parameter space of the graded affine Hecke algebra. We show that the map ${\mathrm{Ind} }_{D} $ defines an isometric isomorphism from the space of elliptic characters of the Weyl group (relative to its reflection representation) to the space of elliptic characters of the graded affine Hecke algebra. We also study a related analytically defined global elliptic Dirac operator between unitary representations of the graded affine Hecke algebra which are realized in the spaces of sections of vector bundles associated to certain representations of the pin cover of the Weyl group. In this way we realize all irreducible discrete series modules of the Hecke algebra in the kernels (and indices) of such analytic Dirac operators. This can be viewed as a graded affine Hecke algebra analog of the construction of the discrete series representations of semisimple Lie groups due to Parthasarathy and to Atiyah and Schmid.
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Dissertations / Theses on the topic "Hecke"

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Rostam, Salim. "Algèbres de Hecke carquois et généralisations d'algèbres d'Iwahori-Hecke." Thesis, Université Paris-Saclay (ComUE), 2018. http://www.theses.fr/2018SACLV063/document.

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Cette thèse est consacrée à l'étude des algèbres de Hecke carquois et de certaines généralisations des algèbres d'Iwahori-Hecke. Dans un premier temps, nous montrons deux résultats concernant les algèbres de Hecke carquois, dans le cas où le carquois possède plusieurs composantes connexes puis lorsqu'il possède un automorphisme d'ordre fini. Ensuite, nous rappelons un isomorphisme de Brundan-Kleshchev et Rouquier entre algèbres d'Ariki-Koike et certaines algèbres de Hecke carquois cyclotomiques. D'une part nous en déduisons qu'une équivalence de Morita importante bien connue entre algèbres d'Ariki-Koike provient d'un isomorphisme, d'autre part nous donnons une présentation de type Hecke carquois cyclotomique pour l'algèbre de Hecke de G(r,p,n). Nous généralisons aussi l'isomorphisme de Brundan-Kleshchev pour montrer que les algèbres de Yokonuma-Hecke cyclotomiques sont des cas particuliers d'algèbres de Hecke carquois cyclotomiques. Finalement, nous nous intéressons à un problème de combinatoire algébrique, relié à la théorie des représentations des algèbres d'Ariki-Koike. En utilisant la représentation des partitions sous forme d'abaque et en résolvant, via un théorème d'existence de matrices binaires, un problème d'optimisation convexe sous contraintes à variables entières, nous montrons qu'un multi-ensemble de résidus qui est bégayant provient nécessairement d'une multi-partition bégayante
This thesis is devoted to the study of quiver Hecke algebras and some generalisations of Iwahori-Hecke algebras. We begin with two results concerning quiver Hecke algebras, first when the quiver has several connected components and second when the quiver has an automorphism of finite order. We then recall an isomorphism of Brundan-Kleshchev and Rouquier between Ariki-Koike algebras and certain cyclotomic quiver Hecke algebras. From this, on the one hand we deduce that a well-known important Morita equivalence between Ariki--Koike algebras comes from an isomorphism, on the other hand we give a cyclotomic quiver Hecke-like presentation for the Hecke algebra of type G(r,p,n). We also generalise the isomorphism of Brundan-Kleshchev to prove that cyclotomic Yokonuma-Hecke algebras are particular cases of cyclotomic quiver Hecke algebras. Finally, we study a problem of algebraic combinatorics, related to the representation theory of Ariki-Koike algebras. Using the abacus representation of partitions and solving, via an existence theorem for binary matrices, a constrained optimisation problem with integer variables, we prove that a stuttering multiset of residues necessarily comes from a stuttering multipartition
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Heyer, Claudius. "Applications of parabolic Hecke algebras: parabolic induction and Hecke polynomials." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/20137.

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Im ersten Teil wird eine neue Konstruktion der parabolischen Induktion für pro-p Iwahori-Heckemoduln gegeben. Dabei taucht eine neue Klasse von Algebren auf, die in gewisser Weise als Interpolation zwischen der pro-p Iwahori-Heckealgebra einer p-adischen reduktiven Gruppe $G$ und derjenigen einer Leviuntergruppe $M$ von $G$ gedacht werden kann. Für diese Algebren wird ein Induktionsfunktor definiert und eine Transitivitätseigenschaft bewiesen. Dies liefert einen neuen Beweis für die Transitivität der parabolischen Induktion für Moduln über der pro-p Iwahori-Heckealgebra. Ferner wird eine Funktion auf einer parabolischen Untergruppe untersucht, die als Werte nur p-Potenzen annimmt. Es wird gezeigt, dass sie eine Funktion auf der (pro-p) Iwahori-Weylgruppe von $M$ definiert, und dass die so definierte Funktion monoton steigend bzgl. der Bruhat-Ordnung ist und einen Vergleich der Längenfunktionen zwischen der Iwahori-Weylgruppe von $M$ und derjenigen der Iwahori-Weylgruppe von $G$ erlaubt. Im zweiten Teil wird ein allgemeiner Zerlegungssatz für Polynome über der sphärischen (parahorischen) Heckealgebra einer p-adischen reduktiven Gruppe $G$ bewiesen. Diese Zerlegung findet über einer parabolischen Heckealgebra statt, die die Heckealgebra von $G$ enthält. Für den Beweis des Zerlegungssatzes wird vorausgesetzt, dass die gewählte parabolische Untergruppe in einer nichtstumpfen enthalten ist. Des Weiteren werden die nichtstumpfen parabolischen Untergruppen von $G$ klassifiziert.
The first part deals with a new construction of parabolic induction for modules over the pro-p Iwahori-Hecke algebra. This construction exhibits a new class of algebras that can be thought of as an interpolation between the pro-p Iwahori-Hecke algebra of a p-adic reductive group $G$ and the corresponding algebra of a Levi subgroup $M$ of $G$. For these algebras we define a new induction functor and prove a transitivity property. This gives a new proof of the transitivity of parabolic induction for modules over the pro-p Iwahori-Hecke algebra. Further, a function on a parabolic subgroup with p-power values is studied. We show that it induces a function on the (pro-p) Iwahori-Weyl group of $M$, that it is monotonically increasing with respect to the Bruhat order, and that it allows to compare the length function on the Iwahori-Weyl group of $M$ with the one on the Iwahori-Weyl group of $G$. In the second part a general decomposition theorem for polynomials over the spherical (parahoric) Hecke algebra of a p-adic reductive group $G$ is proved. The proof requires that the chosen parabolic subgroup is contained in a non-obtuse one. Moreover, we give a classification of non-obtuse parabolic subgroups of $G$.
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Bijakowski, Stéphane. "Classicité de formes modulaires surconvergentes sur une variété de Shimura." Thesis, Paris 13, 2014. http://www.theses.fr/2014PA132050/document.

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Nous nous intéressons aux formes modulaires surconvergentes définies sur certaines variétés de Shimura, et prouvons des théorèmes de classicité en grand poids. Dans un premier temps, nous étudions les variétés ayant bonne réduction, associées à des groupes non ramifiés en p. Nous nous intéressons aux variétés de Shimura PEL de type (A) et (C), qui sont associées respectivement à des groupes unitaires et symplectiques. Pour démontrer un théorème de classicité, nous utilisons la méthode du prolongement analytique, qui a été développée par Buzzard et Kassaei dans le cas de la courbe modulaire. Nous généralisons ensuite ce résultat de classicité à des variétés en ne supposant plus que le groupe associé est non ramifié en p. Dans le cas des formes modulaires de Hilbert, nous construisons des modèles entiers des compactifications de la variété, et démontrons un principe de Koecher. Pour des variétés de Shimura plus générales, nous travaillons avec le modèle rationnel de la variété, et utilisons un plongement vers une variété de Siegel pour définir les structures entières
We deal with overconvergent modular forms défined on some Shimura varieties, andprove classicality results in the case of big weight. First we study the case of varieties with good reduction, associated to unramified groups in p. We deal with Shimura varieties of PEL type (A) and (C), which are associated respectively to unitary and symplectic groups. To prove a classicality theorem, we use the analytic continuation method, which has been developed by Buzzard and Kassaei in the case of the modular curve. We then generalize this classicality result for varieties without assuming that the associated group is unramified in p. In the case of Hilbert modular forms, we construct integral models of compactifications of the variety, and prove a Koecher principle. For more general Shimura varieties, we work with the rationnal model of the variety, and use an embedding to a Siegel variety to define the integral structures
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Uhl, Christine. "Quantum Drinfeld Hecke Algebras." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc862764/.

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Quantum Drinfeld Hecke algebras extend both Lusztig's graded Hecke algebras and the symplectic reflection algebras of Etingof and Ginzburg to the quantum setting. A quantum (or skew) polynomial ring is generated by variables which commute only up to a set of quantum parameters. Certain finite groups may act by graded automorphisms on a quantum polynomial ring and quantum Drinfeld Hecke algebras deform the natural semi-direct product. We classify these algebras for the infinite family of complex reflection groups acting in arbitrary dimension. We also classify quantum Drinfeld Hecke algebras in arbitrary dimension for the infinite family of mystic reflection groups of Kirkman, Kuzmanovich, and Zhang, who showed they satisfy a Shephard-Todd-Chevalley theorem in the quantum setting. Using a classification of automorphisms of quantum polynomial rings in low dimension, we develop tools for studying quantum Drinfeld Hecke algebras in 3 dimensions. We describe the parameter space of such algebras using special properties of the quantum determinant in low dimension; although the quantum determinant is not a homomorphism in general, it is a homomorphism on the finite linear groups acting in dimension 3.
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Parkinson, James William. "Buildings and Hecke Algebras." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/642.

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We establish a strong connection between buildings and Hecke algebras through the study of two algebras of averaging operators on buildings. To each locally finite regular building we associate a natural algebra B of chamber set averaging operators, and when the building is affine we also define an algebra A of vertex set averaging operators. In the affine case, it is shown how the building gives rise to a combinatorial and geometric description of the Macdonald spherical functions, and of the centers of affine Hecke algebras. The algebra homomorphisms from A into the complex numbers are studied, and some associated spherical harmonic analysis is conducted. This generalises known results concerning spherical functions on groups of p-adic type. As an application of this spherical harmonic analysis we prove a local limit theorem for radial random walks on affine buildings.
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Parkinson, James William. "Buildings and Hecke Algebras." University of Sydney. Mathematics and Statistics, 2005. http://hdl.handle.net/2123/642.

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We establish a strong connection between buildings and Hecke algebras through the study of two algebras of averaging operators on buildings. To each locally finite regular building we associate a natural algebra B of chamber set averaging operators, and when the building is affine we also define an algebra A of vertex set averaging operators. In the affine case, it is shown how the building gives rise to a combinatorial and geometric description of the Macdonald spherical functions, and of the centers of affine Hecke algebras. The algebra homomorphisms from A into the complex numbers are studied, and some associated spherical harmonic analysis is conducted. This generalises known results concerning spherical functions on groups of p-adic type. As an application of this spherical harmonic analysis we prove a local limit theorem for radial random walks on affine buildings.
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Boys, Clinton. "Alternating quiver Hecke algebras." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/12725.

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This thesis consists of a detailed study of alternating quiver Hecke algebras, which are alternating analogues of quiver Hecke algebras as defined by Khovanov-Lauda and Rouquier. The main theorem gives an isomorphism between alternating quiver Hecke algebras and alternating Hecke algebras, as introduced by Mitsuhashi, in the style of Brundan and Kleshchev, provided the quantum characteristic is odd. A proof is obtained by adapting recent methods of Hu and Mathas, which rely on seminormal forms and coefficient systems. A presentation for alternating quiver Hecke algebras by generators and relations, reminiscent of the KLR presentation for Hecke algebras, is also given. Finally, some steps are taken towards discussing the representation theoretic consequences of the results.
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Bao, Dianbin. "Identities between Hecke Eigenforms." Diss., Temple University Libraries, 2017. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/424027.

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Mathematics
Ph.D.
In this dissertation, we study solutions to certain low degree polynomials in terms of Hecke eigenforms. We show that the number of solutions to the equation $h=af^2+bfg+g^2$ is finite for all $N$, where $f,g,h$ are Hecke newforms with respect to $\Gamma_1(N)$ of weight $k>2$ and $a,b\neq 0$. Using polynomial identities between Hecke eigenforms, we give another proof that the $j$-function is algebraic on zeros of Eisenstein series of weight $12k$. Assuming Maeda's conjecture, we prove that the Petersson inner product $\langle f^2,g\rangle$ is nonzero, where $f$ and $g$ are any nonzero cusp eigenforms for $SL_2(\mathhbb{Z})$ of weight $k$ and $2k$, respectively. As a corollary, we obtain that, assuming Maeda's conjecture, identities between cusp eigenforms for $SL_2(\mathbb{Z})$ of the form $X^2+\sum_{i=1}^n \alpha_iY_i=0$ all are forced by dimension considerations, i.e., a square of an eigenform for the full modular group is unbiased. We show by an example that this property does not hold in general for a congruence subgroup. Finally we attach our Sage code in the appendix.
Temple University--Theses
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Jacobs, Daniel. "Slopes of compact Hecke operators." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397675.

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Canguel, Ismail Naci. "Normal subgroups of Hecke groups." Thesis, University of Southampton, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240816.

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Books on the topic "Hecke"

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Ortheil, Hanns-Josef. Hecke. München: Piper, 1994.

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Krieg, Aloys. Hecke algebras. Providence, R.I., USA: American Mathematical Society, 1990.

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1973-, Li Charles, ed. Traces of Hecke operators. Providence, R.I: American Mathematical Society, 2006.

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Schappacher, Norbert. Periods of Hecke Characters. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082094.

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Schappacher, Norbert. Periods of Hecke characters. Berlin: Springer-Verlag, 1988.

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Donhauser, Michael. Die Hecke, der Abend. Warmbronn: Keicher, 2002.

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Xi, Nanhua. Representations of affine Hecke algebras. Berlin: Springer-Verlag, 1994.

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G, Zhuravlev V., ed. Modular forms and Hecke operators. Providence, R.I: American Mathematical Society, 1995.

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Barfoot, Joan. Die Frau in der Hecke. München: Verlag Antje Kunstmann, 1995.

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Xi, Nanhua. Representations of Affine Hecke Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0074130.

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Book chapters on the topic "Hecke"

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Bonnafé, Cédric. "Hecke Algebras." In Algebra and Applications, 53–69. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-70736-5_4.

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Maurin, Krzysztof. "Hecke Theory." In The Riemann Legacy, 659–78. Dordrecht: Springer Netherlands, 1997. http://dx.doi.org/10.1007/978-94-015-8939-0_57.

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Chen, Thomas, Jürgen Fuchs, Steven Duplij, Evgeniy Ivanov, and Steven Duplij. "Hecke Algebra." In Concise Encyclopedia of Supersymmetry, 185. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_242.

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Bump, Daniel. "Hecke Algebras." In Lie Groups, 471–83. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-8024-2_46.

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Andrianov, Anatolij N. "Hecke Rings." In Grundlehren der mathematischen Wissenschaften, 105–211. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-70341-6_3.

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Andrianov, Anatolij N. "Hecke Operators." In Grundlehren der mathematischen Wissenschaften, 212–90. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-70341-6_4.

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Bump, Daniel. "Hecke Algebras." In Lie Groups, 384–96. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/978-1-4757-4094-3_48.

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Ceccherini-Silberstein, Tullio, Fabio Scarabotti, and Filippo Tolli. "Hecke Algebras." In Lecture Notes in Mathematics, 11–29. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51607-9_2.

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Andrianov, Anatoli. "Hecke Operators." In Universitext, 119–36. New York, NY: Springer US, 2008. http://dx.doi.org/10.1007/978-0-387-78753-4_4.

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Choie, YoungJu, and Min Ho Lee. "Hecke Operators." In Springer Monographs in Mathematics, 53–76. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-29123-5_3.

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Conference papers on the topic "Hecke"

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Fieker, Claus, William Hart, Tommy Hofmann, and Fredrik Johansson. "Nemo/Hecke." In ISSAC '17: International Symposium on Symbolic and Algebraic Computation. New York, NY, USA: ACM, 2017. http://dx.doi.org/10.1145/3087604.3087611.

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WILLIAMSON, GEORDIE. "PARITY SHEAVES AND THE HECKE CATEGORY." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0034.

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Shokranian, Salahoddin. "Twisted Trace Formula for Hecke Correspondences." In Fourth International Winter Conference on Mathematical Methods in Physics. Trieste, Italy: Sissa Medialab, 2004. http://dx.doi.org/10.22323/1.013.0023.

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Bigelow, Stephen. "Homological representations of the Iwahori–Hecke algebra." In Conference on the Topology of Manifolds of Dimensions 3 and 4. Mathematical Sciences Publishers, 2004. http://dx.doi.org/10.2140/gtm.2004.7.493.

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Lee, Dong-il. "Basis theorem for degenerate affine Hecke algebras." In 2011 International Conference on Multimedia Technology (ICMT). IEEE, 2011. http://dx.doi.org/10.1109/icmt.2011.6002365.

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Ariki, Susumu. "On cyclotomic quiver Hecke algebras of affine type." In The Eighth China–Japan–Korea International Symposium on Ring Theory. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811230295_0001.

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Acikgoz, Mehmet, Ismail Naci Cangul, Daeyeoul Kim, Yilmaz Simsek, Theodore E. Simos, George Psihoyios, and Ch Tsitouras. "Applications of Hecke Operator to Generalized Dedekind Eta Functions." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS: International Conference on Numerical Analysis and Applied Mathematics 2009: Volume 1 and Volume 2. AIP, 2009. http://dx.doi.org/10.1063/1.3241525.

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8

Aygunes, A. Ahmet. "Weber functions and Weierstrass sigma function associated with Hecke operators." In NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2012: International Conference of Numerical Analysis and Applied Mathematics. AIP, 2012. http://dx.doi.org/10.1063/1.4756137.

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9

Aygunes, Aykut Ahmet. "Remarks on special polynomials emerging from the partial hecke operator." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2021. AIP Publishing, 2023. http://dx.doi.org/10.1063/5.0162274.

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10

GÉRARDIN, PAUL, and K. F. LAI. "ASYMPTOTIC BEHAVIOR OF EIGENFUNCTIONS FOR THE HECKE ALGEBRA ON HOMOGENEOUS TREES." In Proceedings of the International Workshop. WORLD SCIENTIFIC, 2000. http://dx.doi.org/10.1142/9789812792303_0009.

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Reports on the topic "Hecke"

1

Steeves, Brye. Former Director Sig Hecker to present classified colloquium on the end of nuclear testing. Office of Scientific and Technical Information (OSTI), October 2022. http://dx.doi.org/10.2172/1896387.

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2

Zgonjanin, Branka. Review of Silvia Henke, Dieter Mersch, Nicolaj van der Meulen, Thomas Strässle, Jörg Wiesel, "Manifesto of Artistic Research, A Defense Against Its Advocates.". Jar-online.net, October 2020. http://dx.doi.org/10.22501/jarnet.0037.

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