Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma{}}\) of exceptional linear Lie groups \(G\). III: \(G=E_ 8\)
type: Item
instance of: scholarly article
title: Realizations of involutive automorphisms \(\sigma\) and \(G^{\sigma{}}\) of exceptional linear Lie groups \(G\). III: \(G=E_ 8\)
zbMATH Open document ID: 0761.22019
author: Ichiro Yokota
published in: Tsukuba Journal of Mathematics
publication date: 1992-09-27T00:00:00Z
review text: This paper gives explicit descriptions of connected linear Lie groups of type \(E_ 8\), involutive automorphisms on these Lie groups, and the corresponding subgroups of fixed points. The results are quite technical and the reader should have at hand the first two parts in this sequence of papers as a source of notation. Part I [J. Fac. Sci., Shinshu Univ. 20, 131-144 (1985; Zbl 0604.22006)] dealt with \(G_ 2\), \(F_ 4\), and \(E_ 6\); Part II [Tsukuba J. Math. 14, No. 2, 379-404 (1990; Zbl 0741.22004)] with \(E_ 7\).
reviewed by: Thomas A. Farmer
Mathematics Subject Classification ID: 22E46
Mathematics Subject Classification ID: 22E15
Mathematics Subject Classification ID: 17B25
Mathematics Subject Classification ID: 22D45
zbMATH DE Number: 61117
zbMATH Keywords: exceptional Lie groups
zbMATH Keywords: linear Lie groups of type \(E_ 8\)
zbMATH Keywords: involutive automorphisms
zbMATH Keywords: subgroups of fixed points
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496161658
OpenAlex ID: W4231880333
Wikidata QID: Q115233574
DOI: 10.21099/TKBJM/1496161658
description: scientific article; zbMATH DE number 61117