A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions

DOI10.2977/prims/1195143419zbMath0960.20027OpenAlexW2125558435MaRDI QIDQ1567242

Frank Neumann

Publication date: 7 February 2001

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195143419

zbMATH Keywords

semisimple Lie groupsfibrewise homotopy theorynormalizers of maximal torisplitting group extensions

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Homological methods in group theory (20J05) Homology and cohomology of Lie groups (57T10) Homotopy theory (55P99) Linear algebraic groups over the reals, the complexes, the quaternions (20G20) General properties and structure of real Lie groups (22E15)

Related Items (2)

Normalizers of maximal tori and real forms of Lie groups ⋮ Gradings on the Albert algebra and on \(\mathfrak{f}_4\)

Cites Work

• Homotopy fixed-point methods for Lie groups and finite loop spaces
• Normalisateurs de tores. I: Groupes de Coxeter etendus
• Sur les constantes de structure et le théorème d'existence des algèbres de Lie semi-simples
• Homotopy limits, completions and localizations
• Connected finite loop spaces with maximal tori
• On the ‘Classifying Space’ Functor for Compact Lie Groups
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions