Academic literature on the topic 'Hecke'
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Journal articles on the topic "Hecke"
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.
Full textOrellana, 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.
Full textKaymak, 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.
Full textMcGerty, 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.
Full textLee, 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.
Full textHsu, 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.
Full textKhare, 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.
Full textClozel, 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.
Full textChoi, 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.
Full textCiubotaru, 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.
Full textDissertations / Theses on the topic "Hecke"
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.
Full textThis 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
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.
Full textThe 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 $G$.
Bijakowski, Stéphane. "Classicité de formes modulaires surconvergentes sur une variété de Shimura." Thesis, Paris 13, 2014. http://www.theses.fr/2014PA132050/document.
Full textWe 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
Uhl, Christine. "Quantum Drinfeld Hecke Algebras." Thesis, University of North Texas, 2016. https://digital.library.unt.edu/ark:/67531/metadc862764/.
Full textParkinson, James William. "Buildings and Hecke Algebras." Thesis, The University of Sydney, 2005. http://hdl.handle.net/2123/642.
Full textParkinson, James William. "Buildings and Hecke Algebras." University of Sydney. Mathematics and Statistics, 2005. http://hdl.handle.net/2123/642.
Full textBoys, Clinton. "Alternating quiver Hecke algebras." Thesis, The University of Sydney, 2014. http://hdl.handle.net/2123/12725.
Full textBao, Dianbin. "Identities between Hecke Eigenforms." Diss., Temple University Libraries, 2017. http://cdm16002.contentdm.oclc.org/cdm/ref/collection/p245801coll10/id/424027.
Full textPh.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
Jacobs, Daniel. "Slopes of compact Hecke operators." Thesis, Imperial College London, 2003. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.397675.
Full textCanguel, Ismail Naci. "Normal subgroups of Hecke groups." Thesis, University of Southampton, 1993. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.240816.
Full textBooks on the topic "Hecke"
Ortheil, Hanns-Josef. Hecke. München: Piper, 1994.
Find full textKrieg, Aloys. Hecke algebras. Providence, R.I., USA: American Mathematical Society, 1990.
Find full text1973-, Li Charles, ed. Traces of Hecke operators. Providence, R.I: American Mathematical Society, 2006.
Find full textSchappacher, Norbert. Periods of Hecke Characters. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0082094.
Full textSchappacher, Norbert. Periods of Hecke characters. Berlin: Springer-Verlag, 1988.
Find full textDonhauser, Michael. Die Hecke, der Abend. Warmbronn: Keicher, 2002.
Find full textXi, Nanhua. Representations of affine Hecke algebras. Berlin: Springer-Verlag, 1994.
Find full textG, Zhuravlev V., ed. Modular forms and Hecke operators. Providence, R.I: American Mathematical Society, 1995.
Find full textBarfoot, Joan. Die Frau in der Hecke. München: Verlag Antje Kunstmann, 1995.
Find full textXi, Nanhua. Representations of Affine Hecke Algebras. Berlin, Heidelberg: Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/bfb0074130.
Full textBook chapters on the topic "Hecke"
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.
Full textMaurin, 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.
Full textChen, 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.
Full textBump, 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.
Full textAndrianov, 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.
Full textAndrianov, 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.
Full textBump, 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.
Full textCeccherini-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.
Full textAndrianov, 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.
Full textChoie, 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.
Full textConference papers on the topic "Hecke"
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.
Full textWILLIAMSON, GEORDIE. "PARITY SHEAVES AND THE HECKE CATEGORY." In International Congress of Mathematicians 2018. WORLD SCIENTIFIC, 2019. http://dx.doi.org/10.1142/9789813272880_0034.
Full textShokranian, 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.
Full textBigelow, 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.
Full textLee, 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.
Full textAriki, 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.
Full textAcikgoz, 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.
Full textAygunes, 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.
Full textAygunes, 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.
Full textGÉRARDIN, 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.
Full textReports on the topic "Hecke"
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.
Full textZgonjanin, 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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