Weil representations of symplectic groups over non-principal rings.

DOI10.1216/rmjm/1181069783zbMath1088.20023OpenAlexW2090182552MaRDI QIDQ2566494

Fernando Szechtman

Publication date: 26 September 2005

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1216/rmjm/1181069783

zbMATH Keywords

Weil representationsirreducible representationsfinite symplectic groupscomplex irreducible charactersfinite principal local rings

Mathematics Subject Classification ID

Ordinary representations and characters (20C15) Representation theory for linear algebraic groups (20G05) Other matrix groups over rings (20H25)

Related Items (3)

Commutative Nilpotent Closed Algebras and Weil Representations ⋮ Representations of McLain groups ⋮ Bruhat Presentations for ∗-Classical Groups

Cites Work

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• The characters of Weil representations associated to finite fields
• Weil representations associated to finite fields
• Some generalizations of the Weil representations of the symplectic and unitary groups
• Weil representations of unitary groups
• Even unimodular lattices associated with the Weil representation of the finite symplectic group
• Clifford and Mackey theory for Weil representations of symplectic groups.
• Symplectic group lattices
• Lower bounds for the minima of certain symplectic and unitary group lattices
• Weil Representations of Symplectic Groups Over Rings
• Symplectic Groups Over Local Rings

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