Spherical hecke algebra
Webspherical Hecke algebras, the study of spherical representations of G(F), and an analogue of the semi-simple conjugacy classes. We hope to generalize our results such as spherical Hecke algebras and the Satake isomorphisms to any split semi-simple algebraic groups over 2-dimensional local fields in the near future. Web15. sep 2009 · In the special case of spherical Hecke algebras (which are commutative), this result becomes precisely the base change fundamental lemma proved previously by Clozel [Cl4] and Labesse [L1].
Spherical hecke algebra
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WebA tutorial introduction gives the requisite background material. The techniques used to prove the main results run the gamut of modern harmonic analysis such as representation theory, spherical functions, Hecke--Bochner formulas and special functions. Graduate students and researchers in harmonic analysis will greatly benefit from this book. WebTitle: Latticed based Cryptography and its Applications. Abstract: Since the first use of lattices in the Knapsack cipher system in 1982 for cryptographic purposes, lattice-based cryptography has begun to draw attention to its potential cryptographic applications. Above all, with the fact that lattice-based problems are resistant to attacks by ...
WebIchiro Satake[1963]studied such algebras to define the spherical functions and proved, in particular, that HK is commutative for a good choice K s of K, maximal compact. The corresponding convolution algebra HK s D s.G/is now called the spherical Hecke algebra. From[Iwahori and Matsumoto 1965], we know that there exists an interesting open ... Webthe pro-p-Iwahori Hecke algebra for any (G;R). It is a fundamental tool for the theory of the representations of Gover a eld Cof characteristic p: the inverse Satake isomorphism for spherical Hecke algebras, the classi cation of the supersingular simple modules of the pro-p-Iwahori Hecke
http://sporadic.stanford.edu/bump/math263/hecke.pdf Web10. dec 2013 · The Hecke algebra H (G;K) is called the spherical Hecke algebra with respect to K. Note that this notion depends on the conjugacy class of K. By de nition, every vector in a smooth representation is xed by some su ciently small compact open subgroup. Spherical representations with respect to Kmay thus be thought of, in some sense, as the ...
Web29. jan 2012 · Stéphane Gaussent (IECN), Guy Rousseau (IECN) We define the spherical Hecke algebra H for an almost split Kac-Moody group G over a local non-archimedean …
WebThe classical Satake correspondence identi es the spherical Hecke algebra of a reductive group over a local ring with the representation ring of its Langlands dual group. This is the key piece which allows one to pass between the Galois and automorphic sides of the Langlands correspondence for function elds. In this talk we will discuss the ... royalty free floral patternWeb30. nov 2004 · We also consider spherical Hecke algebras of the torus of SL 2 and construct the Satake isomorphism between two spherical Hecke algebras. In order to define the … royalty free film musicWeb14. feb 2024 · A Hecke algebra, in the most common definition, is associated to a pair of groups G and K, and is the convolution algebra of bi- K -invariant distributions on G. As far as I know the left-invariant distributions are never considered to be a Hecke algebra. royalty free fine artWebHecke algebra. Hopf algebra. Coideal. Let W be a Coxeter group. The goal of the paper is to construct new Hopf algebras that contain Hecke algebras H q(W)as (left) coideal subalgebras. Our Hecke-Hopf algebras1 H(W)have a number of applications. In particular they provide new solutions of quantum Yang-Baxter equation and royalty free flatline monitor cliphttp://www-personal.umich.edu/~charchan/seminar/ royalty free fish photosWeb[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). x1. Introduction 1.1. Let Let K be a local non-archimedian eld and let F ... royalty free flag imagesWebIn mathematics, a Hecke algebra is classically the algebra of Hecke operators studied by Erich Hecke. It may also refer to one of several algebras (some of which are related to the … royalty free flags