UNIPOTENT ALMOST CHARACTERS OF SIMPLE p-ADIC GROUPS, II
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چکیده
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UNIPOTENT ALMOST CHARACTERS OF SIMPLE p-ADIC GROUPS, II
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متن کاملCLASSIFICATION OF UNIPOTENT REPRESENTATIONS OF SIMPLE p-ADIC GROUPS, II
Let G(K) be the group of K-rational points of a connected adjoint simple algebraic group over a nonarchimedean local field K. In this paper we classify the unipotent representations of G(K) in terms of the geometry of the Langlands dual group. This was known earlier in the special case where G(K) is an inner form of a split group.
متن کاملSIMPLE p - ADIC GROUPS , II
0.1. For any finite group Γ, a “nonabelian Fourier transform matrix” was introduced in [L1]. This is a square matrix whose rows and columns are indexed by pairs formed by an element of Γ and an irreducible representation of the centralizer of that element (both defined up to conjugation). As shown in [L2], this matrix, which is unitary with square 1, enters (for suitable Γ) in the character for...
متن کاملClassification of unipotent representations of simple p-adic groups
0.1. Let K be a nonarchimedean local field with a residue field of cardinal q. Let G(K) be the group of K-rational points of a connected, adjoint simple algebraic group G defined over K which becomes split over an unramified extension of K. Let U(G(K)) be the set of isomorphism classes of unipotent representations of G(K) (see [L4, 1.21]). Let G be a simply connected almost simple algebraic gro...
متن کاملSUPERCUSPIDAL CHARACTERS OF REDUCTIVE p-ADIC GROUPS
We compute the characters of many supercuspidal representations of reductive p-adic groups. Specifically, we deal with representations that arise via Yu’s construction from data satisfying a certain compactness condition. Each character is expressed in terms of a depth-zero character of a smaller group, the (linear) characters appearing in Yu’s construction, Fourier transforms of orbital integr...
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ژورنال
عنوان ژورنال: Transformation Groups
سال: 2014
ISSN: 1083-4362,1531-586X
DOI: 10.1007/s00031-014-9262-0