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Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Unipotent representations and reductive dual pairs over finite fields
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by Jeffrey Adams and Allen Moy PDF
Trans. Amer. Math. Soc. 340 (1993), 309-321 Request permission

Abstract:

Consider the representation correspondence for a reductive dual pair $({G_1},{G_2})$ over a finite field. We consider the question of how the correspondence behaves for unipotent representations. In the special case of cuspidal unipotent representations, and a certain fundamental situation, that of "first occurrence", the representation correspondence takes a cuspidal unipotent representation of ${G_1}$ to one of ${G_2}$. This should serve as a fundamental case in studying the correspondence in general over both finite and local fields.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 340 (1993), 309-321
  • MSC: Primary 20G05; Secondary 20C15, 20G40
  • DOI: https://doi.org/10.1090/S0002-9947-1993-1173855-4
  • MathSciNet review: 1173855