A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions
type: Item
instance of: scholarly article
title: A theorem of Tits, normalizers of maximal tori and fibrewise Bousfield-Kan completions
zbMATH Open document ID: 0960.20027
author: Frank Neumann
published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University
publication date: 2001-02-07T00:00:00Z
review text: A theorem of Tits on the presentation of the normalizer of a maximal torus of a connected compact semisimple Lie group is used to give several equivalent conditions for the splitting of the associated normalizer group extension and interpret them in terms of \(p\)-adic fibrewise homotopy theory.
reviewed by: L. N. Vaserstein
Mathematics Subject Classification ID: 20G20
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 55P99
Mathematics Subject Classification ID: 20J05
Mathematics Subject Classification ID: 20F55
Mathematics Subject Classification ID: 57T10
zbMATH DE Number: 1455561
zbMATH Keywords: normalizers of maximal tori
zbMATH Keywords: semisimple Lie groups
zbMATH Keywords: splitting group extensions
zbMATH Keywords: fibrewise homotopy theory
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2977/prims/1195143419
OpenAlex ID: W2125558435
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DOI: 10.2977/PRIMS/1195143419
description: scientific article; zbMATH DE number 1455561