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

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

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

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Veröffentlicht in:Journal of algebra 1997-06, Vol.192 (1), p.130-165
Hauptverfasser: Tiep, Pham Huu, Zalesskii, Alexander E.
Format: Artikel
Sprache:eng
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Zusammenfassung:LetGbe a finite symplectic or unitary group. We characterize the Weil representations ofGvia their restriction to a standard subgroup. Then we complete the determination of complex representations ofGwith specific minimal polynomials of certain elements by showing that they coincide with the Weil representations.
ISSN:0021-8693
1090-266X
DOI:10.1006/jabr.1996.6943