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Representation Theory

Published by the American Mathematical Society since 1997, this electronic-only journal is devoted to research in representation theory and seeks to maintain a high standard for exposition as well as for mathematical content. All articles are freely available to all readers and with no publishing fees for authors.

ISSN 1088-4165

The 2020 MCQ for Representation Theory is 0.71.

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A triangulation of $\mathrm {GL}(n,F)$
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by Alexandru Tupan
Represent. Theory 10 (2006), 158-163
DOI: https://doi.org/10.1090/S1088-4165-06-00224-X
Published electronically: March 14, 2006
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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.
References
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  • Daniel Bump, Automorphic forms and representations, Cambridge Studies in Advanced Mathematics, vol. 55, Cambridge University Press, Cambridge, 1997. MR 1431508, DOI 10.1017/CBO9780511609572
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Bibliographic Information
  • Alexandru Tupan
  • Affiliation: Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
  • Email: tupan@math.msu.edu
  • 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: https://doi.org/10.1090/S1088-4165-06-00224-X
  • MathSciNet review: 2219111