Tempered subgroups and representations with minimal decay of matrix coefficients
نویسندگان
چکیده
منابع مشابه
Tempered Subgroups and Representations with Minimal Decay of Matrix Coefficients
We present a function F for each simple real linear Lie group G with real rank at least 2 such that F bounds from above all the K-matrix coeecients of non-trivial irreducible spherical unitary representations of G where K is a maximal compact subgroup of G. This enables us to determine when a closed subgroup H is a (G; K)-tempered subgroup of G: for example, if the restriction Fj H of F to H li...
متن کاملErratum to Tempered Subgroups and Representations with Minimal Decay of Matrix Coefficients
Remark (2) following Corollary B in the introduction in [4] is false (what we missed was that when a non-trivial irreducible unitary representation ρ of ∏k i=1 Gi is decomposed into the tensor product ⊗i=1ρi, ρi an irreducible unitary representation of Gi, it happens that ρi is trivial for some i). This remark was used only in Proposition 5.7-(2) whose claim must be retracted. In Proposition 3....
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Given a nilpotent orbit O of a real, reductive algebraic group, a necessary condition is given for the existence of a tempered representation π such that O occurs in the wave front cycle of π. The coefficients of the wave front cycle of a tempered representation are expressed in terms of volumes of precompact submanifolds of an affine space.
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 1998
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2329