Relevant bibliographies by topics / Hecke algebra

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Hecke algebra'

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Published: 4 June 2021
Last updated: 20 February 2023

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Journal articles on the topic "Hecke algebra"

1

Aubert, Anne-Marie, Paul Baum, Roger Plymen, and Maarten Solleveld. "HECKE ALGEBRAS FOR INNER FORMS OF -ADIC SPECIAL LINEAR GROUPS." Journal of the Institute of Mathematics of Jussieu 16, no. 2 (May 5, 2015): 351–419. http://dx.doi.org/10.1017/s1474748015000079.

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Let$F$be a non-Archimedean local field, and let$G^{\sharp }$be the group of$F$-rational points of an inner form of$\text{SL}_{n}$. We study Hecke algebras for all Bernstein components of$G^{\sharp }$, via restriction from an inner form$G$of$\text{GL}_{n}(F)$.For any packet of L-indistinguishable Bernstein components, we exhibit an explicit algebra whose module category is equivalent to the associated category of complex smooth$G^{\sharp }$-representations. This algebra comes from an idempotent in the full Hecke algebra of$G^{\sharp }$, and the idempotent is derived from a type for$G$. We show that the Hecke algebras for Bernstein components of$G^{\sharp }$are similar to affine Hecke algebras of type$A$, yet in many cases are not Morita equivalent to any crossed product of an affine Hecke algebra with a finite group.
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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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OGIEVETSKY, O. V., and L. POULAIN D'ANDECY. "ON REPRESENTATIONS OF CYCLOTOMIC HECKE ALGEBRAS." Modern Physics Letters A 26, no. 11 (April 10, 2011): 795–803. http://dx.doi.org/10.1142/s0217732311035377.

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An approach, based on Jucys–Murphy elements, to the representation theory of cyclotomic Hecke algebras is developed. The maximality (in the cyclotomic Hecke algebra) of the set of the Jucys–Murphy elements is established. A basis of the cyclotomic Hecke algebra is suggested; this basis is used to establish the flatness of the deformation without using the representation theory.
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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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Yang, Guiyu, and Yanbo Li. "Standardly based algebras and 0-Hecke algebras." Journal of Algebra and Its Applications 14, no. 10 (September 2015): 1550141. http://dx.doi.org/10.1142/s0219498815501418.

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In this paper we prove that standardly based algebras are invariant under Morita equivalences. As an application, we prove 0-Hecke algebras and 0-Schur algebras are standardly based algebras. From this point of view, we give a new way to construct the simple modules of 0-Hecke algebras, and prove that the dimension of the center of a symmetric 0-Hecke algebra is not less than the number of its simple modules.
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SAUTER, JULIA. "FROM COMPLETE TO PARTIAL FLAGS IN GEOMETRIC EXTENSION ALGEBRAS." Glasgow Mathematical Journal 60, no. 1 (March 13, 2017): 111–21. http://dx.doi.org/10.1017/s0017089516000598.

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AbstractA geometric extension algebra is an extension algebra of a semi-simple perverse sheaf (allowing shifts), e.g., a push-forward of the constant sheaf under a projective map. Particular nice situations arise for collapsings of homogeneous vector bundles over homogeneous spaces. In this paper, we study the relationship between partial flag and complete flag cases. Our main result is that the locally finite modules over the geometric extension algebras are related by a recollement. As examples, we investigate parabolic affine nil Hecke algebras, geometric extension algebras associated with parabolic Springer maps and an example of Reineke of a parabolic quiver-graded Hecke algebra.
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Braverman, Alexander, and David Kazhdan. "Some Examples of Hecke Algebras for Two-Dimensional Local Fields." Nagoya Mathematical Journal 183 (2006): 57–84. http://dx.doi.org/10.1017/s0027763000009314.

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Let K be a local non-archimedian field, F = K((t)) and let G be a split semi-simple group. The purpose of this paper is to study certain analogs of spherical and Iwahori Hecke algebras for representations of the group G = G(F) and its central extension Ĝ. For instance our spherical Hecke algebra corresponds to the subgroup G (A) ⊂ G(F) where A ⊂ F is the subring OK((t)) where OK ⊂ K is the ring of integers. It turns out that for generic level (cf. [4]) the spherical Hecke algebra is trivial; however, on the critical level it is quite large. On the other hand we expect that the size of the corresponding Iwahori-Hecke algebra does not depend on a choice of a level (details will be considered in another publication).
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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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Barbasch, Dan, and Allen Moy. "Peter–Weyl Iwahori Algebras." Canadian Journal of Mathematics 72, no. 5 (June 21, 2019): 1304–23. http://dx.doi.org/10.4153/s0008414x19000324.

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AbstractThe Peter–Weyl idempotent $e_{\mathscr{P}}$ of a parahoric subgroup $\mathscr{P}$ is the sum of the idempotents of irreducible representations of $\mathscr{P}$ that have a nonzero Iwahori fixed vector. The convolution algebra associated with $e_{\mathscr{P}}$ is called a Peter–Weyl Iwahori algebra. We show that any Peter–Weyl Iwahori algebra is Morita equivalent to the Iwahori–Hecke algebra. Both the Iwahori–Hecke algebra and a Peter–Weyl Iwahori algebra have a natural conjugate linear anti-involution $\star$, and the Morita equivalence preserves irreducible hermitian and unitary modules. Both algebras have another anti-involution, denoted by $\bullet$, and the Morita equivalence preserves irreducible and unitary modules for $\bullet$.
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Larsen, N. S., and Iain Raeburn. "Faithful representations of crossed products by actions of $\boldsymbol N^k$." MATHEMATICA SCANDINAVICA 89, no. 2 (December 1, 2001): 283. http://dx.doi.org/10.7146/math.scand.a-14342.

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We study a family of semigroup crossed products arising from actions of $\boldsymbol N^k$ by endomorphisms of groups. These include the Hecke algebra arising in the Bost-Connes analysis of phase transitions in number theory, and other Hecke algebras considered by Brenken. Our main theorem is a characterisation of the faithful representations of these crossed products, and generalises a similar theorem for the Bost-Connes algebra due to Laca and Raeburn.
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Dissertations / Theses on the topic "Hecke algebra"

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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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Schmidt, Nicolas Alexander. "Generic pro-p Hecke algebras, the Hecke algebra of PGL(2, Z), and the cohomology of root data." Doctoral thesis, Humboldt-Universität zu Berlin, 2019. http://dx.doi.org/10.18452/19724.

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Es wird die Theorie der generischen pro-$p$ Hecke-Algebren und ihrer Bernstein-Abbildungen entwickelt. Für eine Unterklasse diese Algebren, der \textit{affinen} pro-$p$ Hecke-Algebren wird ein Struktursatz bewiesen, nachdem diese Algebren unter anderem stets noethersch sind, wenn es der Koeffizientenring ist. Hilfsmittel ist dabei der Nachweis der Bernsteinrelationen, der in abstrakter Weise geführt wird und so die bestehende Theorie verallgemeinert. Ferner wird der top. Raum der Orientierungen einer Coxetergruppe eingeführt und im Falle der erweiterten modularen Gruppe $\operatorname{PGL}_2(\mathds{Z})$ untersucht, und ausgenutzt um Kenntnisse über die Struktur der zugehörigen Hecke-Algebra als Modul über einer gewissen Unteralgebra, welche zur Spitze im Unendlichen zugeordnet ist, zu erlangen. Schließlich wird die Frage des Zerfallens des Normalisators eines maximalen zerfallenden Torus innerhalb einer zerfallenden reduktiven Gruppe als Erweiterung der Weylgruppe durch die Gruppe der rationalen Punkte des Torus untersucht, und mittels zuvor erreichter Ergebnisse auf eine kohomologische Frage zurückgeführt. Zur Teilbeantwortung dieser werden dann die Kohomologiegruppen bis zur Dimension drei der Kocharaktergitter der fasteinfachen halbeinfachen Wurzeldaten einschließlich des Rangs 8 berechnet. Mittels der Theorie der $\mathbf{FI}$-Moduln wird daraus die Berechnung der Kohomologie der mod-2-Reduktion der Kowurzelgitter für den Typ $A$ in allen Rängen bewiesen.
The theory of generic pro-$p$ Hecke algebras and their Bernstein maps is developed. For a certain subclass, the \textit{affine} pro-$p$ Hecke algebras, we are able to prove a structure theorem that in particular shows that the latter algebras are always noetherian if the ring of coefficients is. The crucial technical tool are the Bernstein relations, which are proven in an abstract way that generalizes the known cases. Moreover, the topological space of orientations is introduced and studied in the case of the extended modular group $\operatorname{PGL}_2(\mathds{Z})$, and used to determine the structure of its Hecke algebra as a module over a certain subalgebra, attached to the cusp at infinity. Finally, the question of the splitness of the normalizer of a maximal split torus inside a split reductive groups as an extension of the Weyl group by the group of rational points is studied. Using results obtained previously, this questioned is then reduced to a cohomological one. A partial answer to this question is obtained via computer calculations of the cohomology groups of the cocharacter lattices of all almost-simple semisimple root data of rank up to $8$. Using the theory of $\mathbf{FI}$-modules, these computations are used to determine the cohomology of the mod 2 reduction of the coroot lattices for type $A$ and all ranks.
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Soriano, Solá Marcos. "Contributions to the integral representation theory of Iwahori-Hecke algebras." [S.l. : s.n.], 2002. http://www.bsz-bw.de/cgi-bin/xvms.cgi?SWB9866651.

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Alharbi, Badr. "Representations of Hecke algebra of type A." Thesis, University of East Anglia, 2013. https://ueaeprints.uea.ac.uk/48674/.

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We give some new results about representations of the Hecke algebra HF,q(Sn) of type A. In the first part we define the decomposition numbers dλν to be the composition multiplicity of the irreducible module Dν in the Specht module Sλ. Then we compute the decomposition numbers dλν for all partitions of the form λ = (a, c, 1b) and ν 2–regular for the Hecke algebra HC,−1(Sn). In the second part, we give some examples of decomposable Specht modules for the Hecke algebra HC,−1(Sn). These modules are indexed by partitions of the form (a, 3, 1b), where a, b are even. Finally, we find a new family of decomposable Specht modules for FSn when char(F) = 2.
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Ratliff, Leah J. "The alternating hecke algebra and its representations." Connect to full text, 2007. http://hdl.handle.net/2123/1698.

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Thesis (Ph. D.)--School of Mathematics and Statistics, Faculty of Science, University of Sydney, 2007.
Title from title screen (viewed 13 January 2009). Submitted in fulfilment of the requirements for the degree of Doctor of Philosophy to the School of Mathematics and Statistics, Faculty of Science. Includes bibliographical references. Also available in print form.
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Ratliff, Leah Jane. "The alternating Hecke algebra and its representations." Thesis, The University of Sydney, 2007. http://hdl.handle.net/2123/1698.

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The alternating Hecke algebra is a q-analogue of the alternating subgroups of the finite Coxeter groups. Mitsuhashi has looked at the representation theory in the cases of the Coxeter groups of type A_n, and B_n, and here we provide a general approach that can be applied to any finite Coxeter group. We give various bases and a generating set for the alternating Hecke algebra. We then use Tits' deformation theorem to prove that, over a large enough field, the alternating Hecke algebra is isomorphic to the group algebra of the corresponding alternating Coxeter group. In particular, there is a bijection between the irreducible representations of the alternating Hecke algebra and the irreducible representations of the alternating subgroup. In chapter 5 we discuss the branching rules from the Iwahori-Hecke algebra to the alternating Hecke algebra and give criteria that determine these for the Iwahori-Hecke algebras of types A_n, B_n and D_n. We then look specifically at the alternating Hecke algebra associated to the symmetric group and calculate the values of the irreducible characters on a set of minimal length conjugacy class representatives.
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Ratliff, Leah Jane. "The alternating Hecke algebra and its representations." University of Sydney, 2007. http://hdl.handle.net/2123/1698.

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Doctor of Philosophy
The alternating Hecke algebra is a q-analogue of the alternating subgroups of the finite Coxeter groups. Mitsuhashi has looked at the representation theory in the cases of the Coxeter groups of type A_n, and B_n, and here we provide a general approach that can be applied to any finite Coxeter group. We give various bases and a generating set for the alternating Hecke algebra. We then use Tits' deformation theorem to prove that, over a large enough field, the alternating Hecke algebra is isomorphic to the group algebra of the corresponding alternating Coxeter group. In particular, there is a bijection between the irreducible representations of the alternating Hecke algebra and the irreducible representations of the alternating subgroup. In chapter 5 we discuss the branching rules from the Iwahori-Hecke algebra to the alternating Hecke algebra and give criteria that determine these for the Iwahori-Hecke algebras of types A_n, B_n and D_n. We then look specifically at the alternating Hecke algebra associated to the symmetric group and calculate the values of the irreducible characters on a set of minimal length conjugacy class representatives.
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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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Kusilek, Jonathan. "On representations of affine Hecke algebras." Thesis, The University of Sydney, 2011. http://hdl.handle.net/2123/12074.

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We introduce a C-algebra Ht corresponding to an affine Hecke algebra H and a central character t of H, and show that the irreducible representations of Ht are precisely the irreducible representations of H with central character t. For certain choices of t we give an explicit construction of a cellular basis of Ht in terms of elementary properties of t. We thus classify, and give a construction of, the irreducible representations of Ht. While the indexing sets appear similar to those given for calibrated representations, we obtain many representations which are not calibrated.
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Books on the topic "Hecke algebra"

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Blocks and families for cyclotomic Hecke algebras. Berlin: Springer, 2009.

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

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Nicolas, Jacon, and SpringerLink (Online service), eds. Representations of Hecke Algebras at Roots of Unity. London: Springer-Verlag London Limited, 2011.

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Goldschmidt, David M. Group characters, symmetric functions, and the Hecke algebra. Providence, R.I: American Mathematical Society, 1993.

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Chuang, Chih-Yun. Brandt matrices and theta series over global function fields. Providence, Rhode Island: American Mathematical Society, 2015.

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Linear and projective representations of symmetric groups. Cambridge, U.K: Cambridge University Press, 2005.

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1967-, Takeuchi Kiyoshi, and Tanisaki Toshiyuki 1955-, eds. D-modules, perverse sheaves, and representation theory. Boston, MA: Birkhäuser, 2004.

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

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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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Ceccherini-Silberstein, Tullio, Fabio Scarabotti, and Filippo Tolli. Gelfand Triples and Their Hecke Algebras. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-51607-9.

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Book chapters on the topic "Hecke algebra"

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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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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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Goldschmidt, David. "The Hecke algebra." In Group Characters, Symmetric Functions, and the Hecke Algebra, 61–65. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/ulect/004/13.

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Oziewicz, Zbigniew. "Clifford Algebra for Hecke Braid." In Clifford Algebras and Spinor Structures, 397–411. Dordrecht: Springer Netherlands, 1995. http://dx.doi.org/10.1007/978-94-015-8422-7_26.

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Roggenkamp, Klaus W. "2-Dimensional Orders and Integral Hecke Orders." In Algebra — Representation Theory, 301–49. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-010-0814-3_15.

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Braverman, Alexander, and David Kazhdan. "Remarks on the Asymptotic Hecke Algebra." In Lie Groups, Geometry, and Representation Theory, 91–108. Cham: Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-030-02191-7_4.

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Cherednik, Ivan, and Yavor Markov. "Hankel transform via double Hecke algebra." In Lecture Notes in Mathematics, 1–25. Berlin, Heidelberg: Springer Berlin Heidelberg, 2002. http://dx.doi.org/10.1007/978-3-540-36205-0_1.

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Hida, Haruzo. "Invariants, Shimura Variety, and Hecke Algebra." In Springer Monographs in Mathematics, 83–144. New York, NY: Springer New York, 2013. http://dx.doi.org/10.1007/978-1-4614-6657-4_3.

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Maier, Patrick, Daria Livesey, Hans-Wolfgang Loidl, and Phil Trinder. "High-Performance Computer Algebra: A Hecke Algebra Case Study." In Lecture Notes in Computer Science, 415–26. Cham: Springer International Publishing, 2014. http://dx.doi.org/10.1007/978-3-319-09873-9_35.

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Ram, Arun. "Representations of Rank Two Affine Hecke Algebras." In Advances in Algebra and Geometry, 57–91. Gurgaon: Hindustan Book Agency, 2003. http://dx.doi.org/10.1007/978-93-86279-12-5_6.

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Conference papers on the topic "Hecke algebra"

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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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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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Wysoczański, Janusz. "On a cubic Hecke algebra associated with the quantum group Uq(2)." In Noncommutative Harmonic Analysis with Applications to Probability II. Warsaw: Institute of Mathematics Polish Academy of Sciences, 2010. http://dx.doi.org/10.4064/bc89-0-22.

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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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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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Wybourne, B. G., and M. Yang. "q—Deformation of symmetric functions and Hecke algebras Hn(q) of type An−1." In Group Theory in Physics: Proceedings of the international symposium held in honor of Professor Marcos Moshinsky. AIP, 1992. http://dx.doi.org/10.1063/1.42845.

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Hwang, Jun-Muk. "Hecke curves on the moduli space of vector bundles over an algebraic curve." In Proceedings of the Symposium. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705105_0005.

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Cooperman, Gene, and Michael Tselman. "New sequential and parallel algorithms for generating high dimension Hecke algebras using the condensation technique." In the 1996 international symposium. New York, New York, USA: ACM Press, 1996. http://dx.doi.org/10.1145/236869.236927.

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Yamane, Hiroyuki. "ON REPRESENTATION THEORIES OF IWAHORI-HECKE ALGEBRAS Hq(W) AT ROOTS q OF UNITY (IN PARTICULAR, EXPLICIT FORMULAS ON $H_{n_{\sqrt{1}}(S_{n})}$ and $H_{n-1_{\sqrt{1}}(S_{n})}$)." In The Fifth Nankai Workshop. WORLD SCIENTIFIC, 1993. http://dx.doi.org/10.1142/9789814503761_0010.

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