A presentation of the group \(\text{Sl}_*(2,A)\), \(A\) a simple Artinian ring with involution.

DOI10.1007/s00229-006-0027-5zbMath1107.20039OpenAlexW2056747977MaRDI QIDQ2505221

José E. Pantoja

Publication date: 4 October 2006

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0027-5

zbMATH Keywords

presentationsgeneratorsunitary groupssimple Artinian rings with involution

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Other matrix groups over rings (20H25)

Related Items (4)

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

Cites Work

• A Bruhat decomposition of the group \(\text{Sl}_*(2,A)\).
• On the Group of Symplectic Matrices Over a Free Associative Algebra
• Bruhat Presentations for ∗-Classical Groups
• Finite-Dimensional Division Algebras over Fields
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