A generalized Weil representation for \(\text{SL}_*(2,A_m)\), where \(A_m=\mathbb{F}_q[x]\langle x^m\rangle\).

DOI10.1016/j.jalgebra.2009.03.033zbMath1179.20045OpenAlexW2170238231MaRDI QIDQ837037

Luis Gutiérrez Frez

Publication date: 10 September 2009

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2009.03.033

zbMATH Keywords

presentationsWeil representationsspecial linear groupsrings with involutiontwisted groups

Mathematics Subject Classification ID

Representation theory for linear algebraic groups (20G05) Generators, relations, and presentations of groups (20F05) Rings with involution; Lie, Jordan and other nonassociative structures (16W10) Other matrix groups over rings (20H25)

Related Items (1)

Weil representations of , q > 3 odd, via presentation and compatibility of methods

Cites Work

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• Quadratic Gauss sums over finite commutative rings
• The Weil representation, Maslov index and theta series
• A Bruhat decomposition of the group \(\text{Sl}_*(2,A)\).
• A presentation of the group \(\text{Sl}_*(2,A)\), \(A\) a simple Artinian ring with involution.
• Sur certains groupes d'opérateurs unitaires
• Weil Representations of Symplectic Groups Over Rings

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