Transitive groups of similitudes generated by octonions
type: Item
instance of: scholarly article
title: Transitive groups of similitudes generated by octonions
zbMATH Open document ID: 1439.20059
author: Andrea Blunck
author: Norbert Knarr
author: Bernhild Stroppel
author: Markus Stroppel
published in: Journal of Group Theory
publication date: 2018-11-07T00:00:00Z
review text: Let \(\mathbb O\) be an alternative division algebra, of arbitrary characteristic. For several types of subspaces \(V\) of \(\mathbb O\), the authors study the structure of the group generated by the left multiplications \(\lambda_v\) with \(0\ne v \in V\), and they construct epimorphisms onto (special) orthogonal groups, like \(\mathrm{SU}_4 {\mathbb C} \to \mathrm{SO}_6 \mathbb R\) and \(\mathrm{U}_2 {\mathbb H} \to \mathrm{SO}_5 \mathbb R\).
reviewed by: Theo Grundhöfer
Mathematics Subject Classification ID: 20G15
Mathematics Subject Classification ID: 20B27
Mathematics Subject Classification ID: 51A40
Mathematics Subject Classification ID: 22E40
zbMATH DE Number: 6974582
zbMATH Keywords: alternative division algebra
zbMATH Keywords: left multiplication
zbMATH Keywords: orthogonal group
MaRDI profile type: Publication
full work available at URL: jgth-2018-0018
OpenAlex ID: W2809224967
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Wikidata QID: Q129651067
DOI: 10.1515/JGTH-2018-0018
description: scientific article; zbMATH DE number 6974582