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Clifford algebras and Shimura's lift for theta-series /Andrianov, Fedor A. January 2000 (has links)
Thesis (Ph. D.)--University of Chicago, Dept. of Mathematics, June 2000. / Includes bibliographical references. Also available on the Internet.
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Representations of Hecke algebras of Weyl groups of type A and BLipp, Johannes. January 2001 (has links)
Stuttgart, Univ., Diss., 2001.
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Completely splittable representations of symmetric groups and affine Hecke algebras /Ruff, Oliver, January 2005 (has links)
Thesis (Ph. D.)--University of Oregon, 2005. / Typescript. Includes vita and abstract. Includes bibliographical references (leaves 44-45). Also available for download via the World Wide Web; free to University of Oregon users.
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Untersuchungen zu James' Vermutung über Iwahori-Hecke-Algebren vom Typ ANeunhöffer, Max. Unknown Date (has links) (PDF)
Tech. Universiẗat, Diss., 2003--Aachen.
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Formas automórficas e as L-funções de Hecke-Maass e Rankin SelbergZapata, Theo Allan Darn January 2006 (has links)
Dissertação (mestrado)—Universidade de Brasília, Instituto de Ciências Exatas, Departamento de Matemática, 2006. / Submitted by wesley oliveira leite (leite.wesley@yahoo.com.br) on 2009-11-25T16:08:33Z
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Previous issue date: 2006 / Neste trabalho estabelecemos propriedades analíticas e aritméticas de duas L-
funções automór cas para o grupo modular, as de Hecke-Maass e Rankin-Selberg. A
partir das quais, obtemos limitantes superiores para somas de coe cientes de formas
automór cas cuspidais.
________________________________________________________________________________________ ABSTRACT / In this work we estabilish analytical and arithmetical proprieties of two auto-
morphic L-functions for the modular group, those of Hecke-Maass and Rankin-
Selberg. From these, we obtain upper bounds for sums of the coe cients of auto-
morphic cusp forms.
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The Hyperbolic Formal Affine Demazure AlgebraLeclerc, Marc-Antoine January 2016 (has links)
In this thesis, we extend the construction of the formal (affine) Demazure algebra due to Hoffnung, Malagón-López, Savage and Zainoulline in two directions. First, we introduce and study the notion of formal Demazure lattices of a Kac-Moody root system and show that the definitions and properties of the formal (affine) Demazure operators and algebras hold for such lattices. Second, we show that for the hyperbolic formal group law the formal Demazure algebra is isomorphic (after extending the coefficients) to the Hecke algebra.
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A Lift of Cohomology Eigenclasses of Hecke OperatorsHansen, Brian Francis 24 May 2010 (has links) (PDF)
A considerable amount of evidence has shown that for every prime p &neq; N observed, a simultaneous eigenvector v_0 of Hecke operators T(l,i), i=1,2, in H^3(Γ_0(N),F(0,0,0)) has a “lift” v in H^3(Γ_0(N),F(p−1,0,0)) — i.e., a simultaneous eigenvector v of Hecke operators having the same system of eigenvalues that v_0 has. For each prime p>3 and N=11 and 17, we construct a vector v that is in the cohomology group H^3(Γ_0(N),F(p−1,0,0)). This is the first construction of an element of infinitely many different cohomology groups, other than modulo p reductions of characteristic zero objects. We proceed to show that v is an eigenvector of the Hecke operators T(2,1) and T(2,2) for p>3. Furthermore, we demonstrate that in many cases, v is a simultaneous eigenvector of all the Hecke operators.
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Hecke Eigenvalues and Arithmetic CohomologyCocke, William Leonard 19 June 2014 (has links) (PDF)
We provide algorithms and documention to compute the cohomology of congruence subgroups of the special linear group over the integers when n=3 using the well-rounded retract and the Voronoi decomposition. We define the Sharbly complex and how one acts on a k-sharbly by the Hecke operators. Since the norm of a sharbly is not preserved by the Hecke operators we also examine the reduction techniques described by Gunnells and present our implementation of said techniques for n=3.
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On the nonvanishing of central L-values associated to Hecke eigenformsFotis, Sam Joseph 26 December 2014 (has links)
No description available.
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Subconvex bounds for twists of GL(3) L-functionsLin, Yongxiao 25 September 2018 (has links)
No description available.
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