Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
type: Item
instance of: scholarly article
title: Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma}\) of exceptional linear Lie groups G. I: \(G=G_ 2\), \(F_ 4\) and \(E_ 6\)
zbMATH Open document ID: 0732.22002
author: Ichiro Yokota
published in: Tsukuba Journal of Mathematics
publication date: 1990-01-01T00:00:00Z
review text: Let \(\sigma\) be an automorphism of a Lie group G and \(G^{\sigma}\) the fixed points of \(\sigma\). The aim of this paper is to determine the group structure of \(G^{\sigma}\) for the Lie groups of type \(G_ 2\), \(F_ 4\) and \(E_ 6\).
Mathematics Subject Classification ID: 22E10
Mathematics Subject Classification ID: 17B25
Mathematics Subject Classification ID: 22D45
zbMATH DE Number: 4210430
zbMATH Keywords: algebra of split complex numbers
zbMATH Keywords: Cayley algebra
zbMATH Keywords: Jordan algebra
zbMATH Keywords: automorphism
zbMATH Keywords: fixed points
zbMATH Keywords: Lie groups
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161328
OpenAlex ID: W2499005443
Wikidata QID: Q115233580
DOI: 10.21099/TKBJM/1496161328
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description: scientific article; zbMATH DE number 4210430