A note on the Tits systems of Kac-Moody Steinberg groups
type: Item
instance of: scholarly article
title: A note on the Tits systems of Kac-Moody Steinberg groups
zbMATH Open document ID: 0910.22019
author: Richard Marcuson
published in: Tsukuba Journal of Mathematics
publication date: 1999-04-20T00:00:00Z
review text: Let \(G\) and \(H\) denote the Chevalley (adjoint) and the Steinberg (nonadjoint) Kac-Moody group corresponding to a Kac-Moody algebra \(L\), respectively. Let \(\sigma\) denote the canonical homomorphism of \(H\) onto \(G\) which by an earlier result of the author is a canonical group map of the Weyl simple subgroup of \(H\) onto \(G\). In this note the author proves that the \(\sigma\)-inverse image of a Tits system in \(G\) forms a Tits system in the Weyl simple subgroup of \(H\).
Mathematics Subject Classification ID: 22E65
Mathematics Subject Classification ID: 17B67
Mathematics Subject Classification ID: 20E42
zbMATH DE Number: 1102797
zbMATH Keywords: Chevalley Kac-Moody groups
zbMATH Keywords: Steinberg Kac-Moody groups
zbMATH Keywords: Tits system
reviewed by: Helmut Boseck
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.21099/tkbjm/1496162977
OpenAlex ID: W249887987
DOI: 10.21099/TKBJM/1496162977
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description: scientific article; zbMATH DE number 1102797