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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Note on invariance over weakly unramified characters of $p$-adic groups
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by Kwangho Choiy;
Proc. Amer. Math. Soc. 153 (2025), 45-53
DOI: https://doi.org/10.1090/proc/17005
Published electronically: November 21, 2024

Abstract:

We shall study representation-theoretic aspects of a complex affine variety of weakly unramified characters of $p$-adic groups. This work proves the invariance of Knapp-Stein $R$-groups within finite subsets of unitary weakly unramified characters constructed over Satake parameters.
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Bibliographic Information
  • Kwangho Choiy
  • Affiliation: School of Mathematical and Statistical Sciences, Southern Illinois University, Carbondale, Illinois 62901-4408
  • MR Author ID: 1060574
  • Email: kchoiy@siu.edu
  • Received by editor(s): April 15, 2024
  • Received by editor(s) in revised form: June 13, 2024, and June 28, 2024
  • Published electronically: November 21, 2024
  • Additional Notes: The author was supported by a gift from the Simons Foundation (#840755).
  • Communicated by: David Savitt
  • © Copyright 2024 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 153 (2025), 45-53
  • MSC (2020): Primary 11F70; Secondary 11E95, 20G20, 22E50
  • DOI: https://doi.org/10.1090/proc/17005
  • MathSciNet review: 4840256