On Generalized Weil Representations over Involutive Rings

zbMath1241.20057arXiv1009.0877MaRDI QIDQ3101236

Jorge Soto-Andrade, Luis Gutiérrez, José E. Pantoja

Publication date: 22 November 2011

Full work available at URL: https://arxiv.org/abs/1009.0877

zbMATH Keywords

Weil representationsinvolutive analogues of classical groupsmatrix groups over involutive ringsgeneralized classical groupsBruhat presentations

Mathematics Subject Classification ID

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

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A reverse engineering approach to the Weil representation ⋮ The Weil representation of a unitary group associated to a ramified quadratic extension of a finite local ring. ⋮ Weil representations of unitary groups over ramified extensions of finite local rings with odd nilpotency length ⋮ Weil representations of , q > 3 odd, via presentation and compatibility of methods ⋮ Weil representations via abstract data and Heisenberg groups: a comparison

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