The normalizer of the Weyl group
type: Item
instance of: scholarly article
title: The normalizer of the Weyl group
zbMATH Open document ID: 0761.55006
DOI: 10.1007/BF01934313
author: Jesper M. Møller
published in: Mathematische Annalen
publication date: 1993-03-03T00:00:00Z
full work available at URL: https://eudml.org/doc/164989
review text: The Weyl group of a compact connected Lie group acts on the cohomology of a maximal torus. The normalizer for this action is closely related to the group of self-homotopy equivalences of the completed classifying space. Using this connection, it is possible to estimate the cardinality of the genus set of the classifying space. Another application is the computation of the group of self-homotopy equivalences of classifying spaces of simply connected compact Lie groups.
Mathematics Subject Classification ID: 55P10
Mathematics Subject Classification ID: 55P15
Mathematics Subject Classification ID: 55P60
zbMATH DE Number: 126356
zbMATH Keywords: Weyl group
zbMATH Keywords: Lie group
zbMATH Keywords: cohomology
zbMATH Keywords: maximal torus
zbMATH Keywords: group of self-homotopy equivalences
zbMATH Keywords: classifying space
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 126356