Bruhat Presentations for ∗-Classical Groups

DOI10.1080/00927870902828884zbMath1188.20025OpenAlexW2089980942MaRDI QIDQ3653345

Jorge Soto-Andrade, José E. Pantoja

Publication date: 22 December 2009

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

Full work available at URL: https://doi.org/10.1080/00927870902828884

zbMATH Keywords

presentationsHermitian formsclassical groupsrings with involutionunitary similitude groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25) Bilinear and Hermitian forms (11E39)

Related Items (5)

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 ⋮ 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

Cites Work

• Unnamed Item
• 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.
• Forms over rings with involution
• Weil representations of symplectic groups over non-principal rings.
• Finite-Dimensional Division Algebras over Fields

This page was built for publication: Bruhat Presentations for ∗-Classical Groups