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A triangulation of 
Author:
Alexandru Tupan
Journal:
Represent. Theory 10 (2006), 158-163
MSC (2000):
Primary 20G05
Posted:
March 14, 2006
MathSciNet review:
2219111
Full-text PDF Free Access
Abstract |
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Abstract: Let  be a non-Archimedian field. We prove that each open and compact subset of  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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 where  is a local non-Archimedian field, Russian Mathematical Surveys 3 (1976), 1-68. MR 0425030 (54:12988)
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Bump, D. Automorphic forms and representations, Cambridge Studies in Advanced Mathematics, 55, Cambridge University Press, Cambridge, 1997. MR 1431508 (97k:11080)
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Demazure, M. and Grothendieck, A. Schémas en groupes I. Propriétés générales des schémas en groupes. Séminaire de Géométrie Algébrique du Bois Marie 1962/64 (SGA 3), Springer Lecture Notes, Vol. 151, 1970. MR 0274458 (43:223a)
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Gelfand, I.M. and Kazhdan, D.A. (1) Representations of the group
 where  is a local field, Funkcional Anal. i Prilozen 6 (1972), no 4, 73-74; (2) Representations of the group  where  is a local field, Lie groups and their representations (Proc. Summer School, Bolyai János Math. Soc., Budapest 1971), Halsted, New York (1975), 95-118. MR 0333080 (48:11405); MR 0404534 (53:8334)
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Additional Information
Alexandru Tupan
Affiliation:
Department of Mathematics, Michigan State University, East Lansing, Michigan 48824
Email:
tupan@math.msu.edu
DOI:
http://dx.doi.org/10.1090/S1088-4165-06-00224-X
PII:
S 1088-4165(06)00224-X
Received by editor(s):
December 17, 2003
Received by editor(s) in revised form:
February 18, 2006
Posted:
March 14, 2006
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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