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Abstract
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The author’s work with Murnaghan on distinguished tame supercuspidal
representations is reexamined using a simplified treatment of
Jiu-Kang Yu’s construction of tame supercuspidal representations of
-adic
reductive groups. This leads to a unification of aspects of
the theories of distinguished cuspidal representations over
-adic
and finite fields.
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Keywords
supercuspidal representations, distinguished
representations, cuspidal representations
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Mathematical Subject Classification 2010
Primary: 11F67, 11F70, 20C33, 22E50
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Milestones
Received: 8 September 2019
Revised: 24 November 2020
Accepted: 15 December 2020
Published: 17 March 2021
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