✦ LIBER ✦

A Remark on Gelfand Pairs of Finite Groups of Lie Type

✍ Scribed by Ehud Moshe Baruch; Steve Rallis

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 122 KB
Volume: 201
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7297

No coin nor oath required. For personal study only.

✦ Synopsis

We show how to deduce multiplicity one theorems for cuspidal representations of finite groups of Lie type from analogous results for p-adic groups. We then look at examples where the latter is known. One such example is the restriction of Ž . Ž . w x irreducible representations of SO n to SO n y 1 S. Rallis, preprint . We show Ž . that the multiplicity of a cuspidal representation of the finite group SO n y 1 in Ž . Ž . the restriction of a cuspidal representation of SO n to SO n y 1 is at most one.

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