Hermitian Morita theory and hyperbolic unitary groups

DOI10.1016/0021-8693(85)90072-9zbMath0578.20034OpenAlexW2049497657MaRDI QIDQ1066273

Zunxian Li, Alexander J. Hahn

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90072-9

zbMATH Keywords

Morita-equivalencehyperbolic unitary groupsisomorphism between linear groupsMorita-standard

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Automorphisms of infinite groups (20E36)

Related Items (4)

Hermitian Morita equivalences between maximal orders in central simple algebras ⋮ Hermitian Morita Theory and Unitary Groups of Hyperbolic Quadratic Modules over Maximal Orders in Central Simple Algebras ⋮ Hermitian Morita Theory and Unitary Groups of Modules over Semisimple Artinian Rings ⋮ A hermitian analogue of the Morita theorems

Cites Work

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• A Hermitian Morita theorem for algebras with anti-structure
• Category equivalences and linear groups over rings
• A general isomorphism theory for linear groups
• Isomorphism theory for orthogonal groups over arbitrary integral domains
• The isomorphisms of unitary groups over noncommutative domains
• On the classification of Hermitian forms. II: Semisimple rings
• Abstract homomorphisms of algebraic groups: problems and bibliography
• The orders of the classical simple groups

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