The fundamental lemma for $Sp(4)$
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- by Thomas C. Hales PDF
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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.References
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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