SL\(_\ast\) over local and adèle rings: \(\ast\)-Euclideanity and Bruhat generators

DOI10.1016/J.JALGEBRA.2021.09.011OpenAlexW3200589495MaRDI QIDQ2236086

Luis Gutiérrez Frez, Luis Alberto Lomelí, José E. Pantoja

Publication date: 22 October 2021

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

Full work available at URL: https://arxiv.org/abs/2102.01634

zbMATH Keywords

\(\ast\)-Euclidean rings\(\mathrm{SL}_\ast\) groupsBruhat generators

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Noncommutative local and semilocal rings, perfect rings (16L30) Linear algebraic groups over adèles and other rings and schemes (20G35)

Cites Work

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• Arithmétique des algèbres de quaternions
• Basic number theory.
• A Bruhat decomposition of the group \(\text{Sl}_*(2,A)\).
• Weil representations via abstract data and Heisenberg groups: a comparison
• \(K\)-theory and stable algebra
• Bruhat Presentations for ∗-Classical Groups

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