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

DOI10.1007/s00013-022-01798-yOpenAlexW4310122318MaRDI QIDQ2678882

Ofer Gabber, Mikhail Borovoi

Publication date: 25 January 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2204.11482

zbMATH Keywords

real reductive groupmaximal split torusreal component group

Mathematics Subject Classification ID

Linear algebraic groups over the reals, the complexes, the quaternions (20G20)

Related Items

Unnamed Item ⋮ On the component group of a real algebraic group

Cites Work

• Unnamed Item
• Unnamed Item
• Lie groups and Lie algebras III. Structure of Lie groups and Lie algebras. Transl. from the Russian by V. Minachin
• Galois and Cartan cohomology of real groups
• Galois cohomology of real semisimple groups via Kac labelings
• On the component group of a real algebraic group
• Quelques remarques sur les groupes de Lie algébriques réels
• Groupes reductifs
• Complements à l'article: Groupes reductifs
• Abelian Galois cohomology of reductive groups
• Number of connected components of groups of real points of adjoint groups
• Pseudo-reductive Groups