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

Autor: Tiep, Pham Huu, Zalesskii, Alexander E.
Zdroj: Journal of Algebra; June 1997, Vol. 192 Issue: 1 p130-165, 36p
Abstrakt: 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.
Databáze: Supplemental Index