Représentations lisses de GLm(D) IV: représentations supercuspidales

Sécherre, Vincent and Stevens, Shaun (2008) Représentations lisses de GLm(D) IV: représentations supercuspidales. Journal of the Institute of Mathematics of Jussieu, 7 (03). pp. 527-574. ISSN 1474-7480

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Abstract

Let F be a non Archimedean locally compact field and let D be a central F-division algebra. We prove that any positive level supercuspidal irreducible representation of the group GLm(D) is compactly induced from a representation of a compact mod center open subgroup of GLm(D). More precisely, we prove that such representations contain a maximal simple type.

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, Number Theory, Logic, and Representations (ANTLR)
Related URLs:	http://arxiv.org/abs/math.RT/0607298
Depositing User:	Vishal Gautam
Date Deposited:	18 Mar 2011 14:44
Last Modified:	17 Dec 2024 01:17
URI:	https://ueaeprints.uea.ac.uk/id/eprint/20911
DOI:	10.1017/S1474748008000078

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