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Some Characterizations of the Weil Representations of the Symplectic and Unitary Groups

✍ Scribed by Pham Huu Tiep; Alexander E. Zalesskii

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 425 KB
Volume: 192
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1996.6943

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✦ Synopsis

Let G be a finite symplectic or unitary group. We characterize the Weil representations of G via their restriction to a standard subgroup. Then we complete the determination of complex representations of G with specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.

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