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Unramified representation

WebMay 26, 2009 · Let X=H\\G be a homogeneous spherical variety for a split reductive group G over the integers o of a p-adic field k, and K=G(o) a hyperspecial maximal compact subgroup of G=G(k). We compute eigenfunctions ("spherical functions") on X=X(k) under the action of the unramified (or spherical) Hecke algebra of G, generalizing many classical results of … Webunramified and X is an arbitrary one-dimensional representation. 3) It is shown in [1] that if a nonzero unramified cusp form f on GL(2, W) exists such that Tvf = tvf, Uvf = uvf and uv E Zl*, then there exists a finite extension E of Q, and an absolutely irreducible continuous two-dimensional representation p of irI(X) overE such that Tr p(Frv ...

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WebSatake parameters for an unramified representation Π v of GL N (k v). Again, Π v is the local Langlands lift of π v. If we have an irreducible automorphic representation π= ›0π v of G(A k) then for almost all places, namely the archimedean ones and the non-archimedean places where π v is unramified, the local component v of πhas a ... WebFeb 5, 2004 · On unramified representations of covering groups On unramified representations of covering groups Savin, G. 2004-02-05 00:00:00 J. reine angew. Math. 566 (2004), 111--134 Journal fur die reine und ¨ angewandte Mathematik ( Walter de Gruyter Berlin Á New York 2004 By Gordan Savin at Salt Lake City 1. Introduction ... disney princess baby doll clothes https://myomegavintage.com

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Webin the representation theory of classical groups over local and global fields. Assuming the Langlands-Vogan parameterization of irreducible representations, we formulated precise conjectures for the solution of these restriction problems. In the local case, our conjectural answer is given in terms of Langlands parameters and certain natural WebAn admissible representation π induces a (,)-module which is easier to deal with as it is an algebraic object. Two admissible representations are said to be infinitesimally equivalent … WebNov 9, 2011 · On local newforms for unramified U (2,1) Let G be the unramified unitary group in three variables defined over a p-adic field F of odd residual characteristic. In this paper, we investigate local ... cox internet cheshire ct

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Unramified representation

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WebWe give a group-theoretic description of the parity of a pull-back of a theta characteristic under a branched covering. It involves lifting monodromy of the covering to the semidirect product of the symmetric and Clifford groups, known as the Sergeev group. As an application, we enumerate torus coverings with respect to their ramification and parity … WebIwasawa theory of elliptic curves with complex multiplication p-adic L functions (Ehud De Shalit) - Read book online for free. ellipticcurve

Unramified representation

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WebA consequence is that infinite pro-p abelian extensions of a number field are infinitely ramified above p. Boston conjectured a nonabelian analogue of this fact, predicting that certain pro-p representations that are unramified at p act via a finite quotient, and this conjecture strengthens the unramified version of the Fontaine-Mazur conjecture. WebWe consider periods of automorphic representations of adele groups defined by integrals along Gelfand subgroups. We define natural maps between local components of such periods and construct corresponding global maps u…

Web1. Unramified representations and the Satake isomorphism 1.1. Unramified representations. Definition 1.1. A smooth representations (π,V) of G= GL n(F) is said to be unramified (or spherical) if the space VK 0 of invariants under the maximal compact … WebARITHMETICAL INVESTIGATIONS: REPRESENTATION Theory, Orthogonal Polynomials, and - $107.73. FOR SALE! The p-adic numbers contain the p-adic integers Zp which are the inverse 364209048033

WebJun 9, 2024 · $\begingroup$ first, it seems that the one dimensional representation of GL(2) is a quotient of your given induced representation if I am not mistaken. The twisted … WebIn mathematics, the Langlands–Shahidi method provides the means to define automorphic L-functions in many cases that arise with connected reductive groups over a number field.This includes Rankin–Selberg products for cuspidal automorphic representations of general linear groups.The method develops the theory of the local coefficient, which links …

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WebTheorem [Iorga] Let be a finite group of order prime to , and let be a finite -group with an action of . Assume there exists an extension such that: is Galois with Galois group , contains , Then there exists number fields such that: is the maximal pro- extension of which is everywhere unramified. cox internet downdetectorWebMay 29, 2024 · In this note, we introduce the notion of almost unramified representations of quasi-split unitary groups of even ranks with respect to an unramified quadratic extension … cox internet down maWebFeb 9, 2024 · Given a global Galois representation with representation space ℤ p n which is unramified at all but finitely many places v, it is a goal of number theory to prove that it … cox internet create accountWebNoether’s problem and the unramified Brauer group for groups of order 64. 主讲人 : Mingchang Kang (National Taiwan University) 2009. 10-22. Geometric Analysis. Regularity and rigidity result for asymptotical hyperbolic manifolds. 主讲人 : 史宇光 教授（北京大学） 2009. 10-20. Symplectic Geometry and Mathematical Physics cox internet customer support phone numberWebrational representation of an ℓ-group G. The Noether’s problem asks whether V/G is stably bira-tional to a point. While if ℓ = pit is well-known that V/Gis always rational, ... Other examples using the third unramified cohomology have been constructed more recently by Peyre in [Pey08]. cox internet connection keeps droppingcox internet customer support numberWebOct 11, 2012 · Firstly, it is proved that every genuine irreducible unramified representation is a fully parabolically induced representation from unramified characters of general linear groups and a genuine ... cox internet discounts