Weil representations of the symplectic group

DOI10.1006/jabr.1998.7516zbMath0932.20047OpenAlexW1977270628MaRDI QIDQ1273401

Fernando Szechtman

Publication date: 12 January 2000

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/3391c9b43c5c353abdbdd1c9717029609a3229ec

zbMATH Keywords

Weil representationsexplicit constructionsirreducible complex representationsfinite symplectic groupsprojective representations

Mathematics Subject Classification ID

Linear algebraic groups over finite fields (20G40) Representation theory for linear algebraic groups (20G05) Representations of finite groups of Lie type (20C33) Projective representations and multipliers (20C25)

Related Items (5)

A Family of Complex Irreducible Characters Possessed by Unitary and Special Unitary Groups Defined over Local Rings ⋮ The character table of a split extension of the Heisenberg group \(H_1(q)\) by \(\text{Sp}(2,q)\), \(q\) odd. ⋮ Weil representation and \(\beta\)-extensions ⋮ Weil representations of unitary groups ⋮ A reducible Weil representation of sp(4) realized by differential operators in the space of smooth functions on H2 × S1

Cites Work

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• Weil representations associated to finite fields
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Symplectic groups, symplectic spreads, codes, and unimodular lattices
• Even unimodular lattices associated with the Weil representation of the finite symplectic group
• Representations of symplectic groups
• Weil Representations as Globally Irreducible Representations
• On the Clifford collineation, transform and similarity groups. I.
• Group Representations and Lattices
• Some Representations of Classical Groups
• Characters of Solvable and Symplectic Groups
• On the Character of Weil's Representation

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