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.References
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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