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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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