Some characterizations of the Weil representations of the symplectic and unitary groups

Pham Huu Tiep, Alexander E. Zalesskii

Research output: Contribution to journalArticle

63 Scopus citations

Abstract

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.

Original languageEnglish (US)
Pages (from-to)130-165
Number of pages36
JournalJournal of Algebra
Volume192
Issue number1
DOIs
StatePublished - Jun 1 1997

ASJC Scopus subject areas

  • Algebra and Number Theory

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