A Bruhat decomposition of the group \(\text{Sl}_*(2,A)\).
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Publication:1873807
DOI10.1016/S0021-8693(03)00036-XzbMath1109.20045MaRDI QIDQ1873807
Jorge Soto-Andrade, José E. Pantoja
Publication date: 27 May 2003
Published in: Journal of Algebra (Search for Journal in Brave)
unitary representationsWeil representationsnon-Archimedean local fieldsBruhat decompositionssimple Artinian rings
Representation theory for linear algebraic groups (20G05) Theta series; Weil representation; theta correspondences (11F27) Other matrix groups over rings (20H25) Representations of Lie and linear algebraic groups over local fields (22E50)
Related Items (8)
A generalized Weil representation for \(\text{SL}_*(2,A_m)\), where \(A_m=\mathbb{F}_q[x\langle x^m\rangle\).] ⋮ Heisenberg groups and their automorphisms over algebras with central involution ⋮ SL\(_\ast\) over local and adèle rings: \(\ast\)-Euclideanity and Bruhat generators ⋮ Weil representations of , q > 3 odd, via presentation and compatibility of methods ⋮ Generators and relations for the unitary group of a skew Hermitian form over a local ring ⋮ A presentation of the group \(\text{Sl}_*(2,A)\), \(A\) a simple Artinian ring with involution. ⋮ Weil representations via abstract data and Heisenberg groups: a comparison ⋮ Bruhat Presentations for ∗-Classical Groups
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