Double coset decompositions and intertwining

Stevens, Shaun (2001) Double coset decompositions and intertwining. manuscripta mathematica, 106 (3). pp. 349-364. ISSN 0025-2611

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Abstract

Let F be a non-archimedean local field of residual characteristic different from 2. This paper is a first step in the description of the smooth representation theory of a unitary group G ? GL(N,F) via types. We intersect certain double cosets in GL(N,F) with G and hence obtain the intertwining of certain characters ?ß- of open compact subgroups of G, for ß ? Lie G. In the case when ß is elliptic regular "modulo &weierpF", we will then obtain supercuspidal representations of G.

Item Type:	Article
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Algebra and Combinatorics (former - to 2024) Faculty of Science > Research Groups > Number Theory (former - to 2017) Faculty of Science > Research Groups > Algebra, Logic & Number Theory
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:44
Last Modified:	13 Nov 2024 00:37
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20908
DOI:	10.1007/PL00005887

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