-groups and elliptic representations for unitary groups

Author:
David Goldberg

Journal:
Proc. Amer. Math. Soc. **123** (1995), 1267-1276

MSC:
Primary 22E35; Secondary 22D30, 22E50

MathSciNet review:
1224616

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Abstract: We determine the reducibility and number of components of any representation of a quasi-split unitary group which is parabolically induced from a discrete series representation. The *R*-groups are computed explicitly, in terms of reducibility for maximal parabolics. This gives a description of the elliptic representations.

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DOI:
https://doi.org/10.1090/S0002-9939-1995-1224616-6

Article copyright:
© Copyright 1995
American Mathematical Society