On the component group of a real algebraic group

DOI10.1134/S0081543822040125MaRDI QIDQ2099708

Dmitry A. Timashev

Publication date: 18 November 2022

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.14024

zbMATH Keywords

component groupreal Galois cohomologyreal algebraic groupsplit torus

Mathematics Subject Classification ID

Galois cohomology (12G05) Group actions on varieties or schemes (quotients) (14L30) General properties and structure of complex Lie groups (22E10) Galois cohomology of linear algebraic groups (11E72)

Related Items (1)

A short proof of Timashev's theorem on the real component group of a real reductive group

Cites Work

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• Homogeneous spaces and equivariant embeddings
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• Orbits of real semisimple Lie groups on real loci of complex symmetric spaces
• Galois and Cartan cohomology of real groups
• Galois cohomology of real semisimple groups via Kac labelings
• Quelques remarques sur les groupes de Lie algébriques réels
• Groupes reductifs
• Complements à l'article: Groupes reductifs
• A short proof of Timashev's theorem on the real component group of a real reductive group

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