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Representation Theory

Published by the American Mathematical Society, the Representation Theory (ERT) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.7.

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A triangulation of $\mathrm {GL}(n,F)$
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by Alexandru Tupan PDF
Represent. Theory 10 (2006), 158-163 Request permission


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
  • Email:
  • Received by editor(s): December 17, 2003
  • Received by editor(s) in revised form: February 18, 2006
  • Published electronically: March 14, 2006
  • © Copyright 2006 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Represent. Theory 10 (2006), 158-163
  • MSC (2000): Primary 20G05
  • DOI:
  • MathSciNet review: 2219111