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Representation Theory

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A triangulation of $\mathrm {GL}(n,F)$

Author: Alexandru Tupan
Journal: Represent. Theory 10 (2006), 158-163
MSC (2000): Primary 20G05
Published electronically: March 14, 2006
MathSciNet review: 2219111
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Abstract | References | Similar Articles | Additional Information

Abstract: Let $F$ be a non-Archimedian field. We prove that each open and compact subset of $\mathrm {GL}_n(F)$ can be decomposed into finitely many open, compact, and self-conjugate subsets. As a corollary, we obtain a short, elementary proof of a well-known theorem of I.M. Gelfand and D.A. Kazhdan.

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Additional Information

Alexandru Tupan
Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824

Received by editor(s): December 17, 2003
Received by editor(s) in revised form: February 18, 2006
Published electronically: March 14, 2006
Article copyright: © Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.