Spherical hecke algebra
Web[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 ... Web16. apr 2024 · Overview. Our goal today is to finish the proof of the main identity for all functions in the spherical Hecke algebra of .For any (unramified everywhere) cuspidal automorphic representation of , the LHS via the analytic spectral decomposition and the RHS via the cohomological spectral decomposition (discussed below) would imply the identity …
Spherical hecke algebra
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Web14. dec 2012 · They appear in the coproduct of a commutative Frobenius algebra which is a particular quotient of the spherical Hecke algebra. We realise this Frobenius algebra as a commutative subalgebra in the endomorphisms over a \({U_{q}\widehat{\mathfrak{sl}}(n)}\) Kirillov-Reshetikhin module. Acting with special elements of this subalgebra, which are ... WebWe will introduce various Hecke algebras attached to G, in particular the spherical Hecke algebra and the Iwahori-spherical Hecke algebra. We will study the representations of these algebras, and will explicit their relation with the above mentioned decomposition.
Webthe pro-p-iwahori hecke algebra of a reductive p-adic group iii (spherical hecke algebras and supersingular modules) - volume 16 issue 3 Skip to main content Accessibility help We … 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 …
WebSpherical Hecke algebras for Kac-Moody groups over local elds By St ephane Gaussent and Guy Rousseau Abstract We de ne the spherical Hecke algebra Hfor an almost split Kac … Web3. máj 2024 · If we adelize a Hecke eigenform for SL 2 ( Z) and look at the corresponding automorphic representation π = ⊗ p π p, which normalization is better to define Hecke operators with, if we want the classical Hecke operator T p to coincide naturally with an action of the spherical Hecke algebra H ( GL 2 ( Q), GL 2 ( Z p)) on the local component π p?
WebThe spherical Hecke algebra for GL (2). Unramified principal series. The Iwahori-Hecke algebra. Statement of Casselman's new vectors theorem and uniqueness of Whittaker functionals. Lecture 4 (1 Nov): The Kirillov model; proof of new vectors theorem. Adeles and ideles. Strong approximation for SL (2). Modular curves as adelic double quotients.
Web26. okt 2024 · Hecke algebra is very important in the representation theory of G, and there are several results about commutativity of such algebra. While we can always write a … scott essential multifold paper towels 01840http://sporadic.stanford.edu/bump/math263/hecke.pdf prepared meals oven readyWebthe 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 prepared meals springfield moWeb8. sep 2008 · We define the spherical Hecke algebra for an (untwisted) affine Kac-Moody group over a local non-archimedian field. We prove a generalization of the Satake … prepared meals shipped to youWebAt the same time the algebra K[Λ] may be viewed as the ring of algebraic functions on the dual maximal torus T′ in the dual group G′. Together, these isomorphisms allow the identifi-cation of characters of the spherical Hecke algebra with semisimple conjugacy classes in G′. On the one hand, the Hecke character corresponds to a certain scott essential paper towelsWebSoliton theory Solitons are special solutions to nonlinear partial differential equations but they also parametrize surfaces such as the one depicted above scott essential recycled toilet paperWebA. The spherical Hecke algebra HR is a space of K−bi-invariant functions on Gwith values in a ring R. In other words, it is the space HI R of G−invariant functions on I0 × I0 where I0 = … prepared meals shipped to your door