Linearity for actions on vector groups.

DOI10.1016/j.jalgebra.2013.08.030zbMath1316.20052OpenAlexW2077199490MaRDI QIDQ405897

George J. McNinch

Publication date: 8 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2013.08.030

zbMATH Keywords

algebraic groupscohomologyrepresentationsactions on vector groupsequivariant isomorphisms

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45) Cohomology theory for linear algebraic groups (20G10)

Related Items (8)

The length and depth of algebraic groups ⋮ Cocharacter-closure and the rational Hilbert-Mumford theorem ⋮ The Picard group of the universal moduli stack of principal bundles on pointed smooth curves ⋮ Word maps on perfect algebraic groups ⋮ Levi decomposition of nilpotent centralisers in classical groups ⋮ On liftings of projective indecomposable \(G_{(1)}\)-modules ⋮ Orbit closures and invariants ⋮ On unipotent algebraic $G$-groups and $1$-cohomology

Cites Work

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• A geometric approach to complete reducibility.
• On unipotent algebraic $G$-groups and $1$-cohomology
• Représentations linéaires irréductibles d'un groupe réductif sur un corps quelconque.
• Finite-Dimensional Division Algebras over Fields

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