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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The fundamental lemma for $Sp(4)$
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by Thomas C. Hales PDF
Proc. Amer. Math. Soc. 125 (1997), 301-308 Request permission

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
  • 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
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 301-308
  • MSC (1991): Primary 22E50, 22E35, 20G25
  • DOI: https://doi.org/10.1090/S0002-9939-97-03546-6
  • MathSciNet review: 1346977