On abstract homomorphisms of anisotropic algebraic groups over real-closed fields

DOI10.1016/0021-8693(79)90095-4zbMath0417.20041OpenAlexW2121728692MaRDI QIDQ754973

B. Yu. Weisfeiler

Publication date: 1979

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

Full work available at URL: https://doi.org/10.1016/0021-8693(79)90095-4

zbMATH Keywords

algebraic groupsprojective spacesZariski topologygroup schemesroot systemmaximal torusanisotropic groupssimple connected groups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Other algebraic groups (geometric aspects) (14L40) Group schemes (14L15)

Related Items

Linear groups over general rings. I: Generalities., Abstract isomorphisms of simple algebraic groups split by quadratic extensions, Homomorphisms of unitary groups, Algebraic groups, Abstract homomorphisms of algebraic groups: problems and bibliography, Representations of Anisotropic Unitary Groups, Flag-transitive subgroups of Chevalley groups with Abelian stabilizers, Simple algebraic and semialgebraic groups over real closed fields

Cites Work

• Homomorphismes abstraits de groupes algébriques simples
• Projektive Geometrien mit Homomorphismus
• Remarks on the representability of groups by matrices
• On abstract monomorphisms of \(k\)-forms of \(\text{PGL}(2)\)
• On the theory of reductive algebraic groups over a perfect field
• The theory of real places
• Orthogonal Groups Over R((π))
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