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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

The fundamental lemma for $S\hbox {\lowercase {$p$}}(4)$


Author: Thomas C. Hales
Journal: Proc. Amer. Math. Soc. 125 (1997), 301-308
MSC (1991): Primary 22E50, 22E35, 20G25
MathSciNet review: 1346977
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Abstract: The fundamental lemma is a conjectural identity between the orbital integrals on two reductive groups. The fundamental lemma is required for the stabilization of the trace formula and for various applications to automorphic forms. This paper proves the fundamental lemma for the group $Sp(4)$ and its endoscopic groups.


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Additional Information

Thomas C. Hales
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email: hales@math.lsa.umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03546-6
PII: S 0002-9939(97)03546-6
Received by editor(s): February 14, 1995
Received by editor(s) in revised form: July 21, 1995
Additional Notes: Research supported by the National Science Foundation.
Communicated by: Roe Goodman
Article copyright: © Copyright 1997 American Mathematical Society