Lipschitzian subspaces in Clifford algebras
type: Item
instance of: scholarly article
title: Lipschitzian subspaces in Clifford algebras
zbMATH Open document ID: 1217.15033
author: Jacques Helmstetter
published in: Journal of Algebra
publication date: 2011-05-16T00:00:00Z
review text: In every Clifford algebra Cl\((V,q)\) there is a Lipschitz monoid Lip\((V,q)\) which in general is the multiplicative (or semi-group) generated by \(V\). Its even or odd components are closed irreducible algebraic submanifolds. When \(\dim(V)\) is bigger then 3 it is sensible to search for all linear subspaces contained in Lip\((V,q)\). All these Lipschitzian subspaces are described in the paper, and many properties are established which involve the essential concept of ``adjacent Lipschitzian elements''.
Mathematics Subject Classification ID: 15A66
Mathematics Subject Classification ID: 14N20
Mathematics Subject Classification ID: 15A75
Mathematics Subject Classification ID: 20M32
zbMATH DE Number: 5888504
zbMATH Keywords: Clifford algebra
zbMATH Keywords: Lipschitz monoids
zbMATH Keywords: semi-groups
zbMATH Keywords: algebraic groups acting on manifolds
zbMATH Keywords: Vahlen matrices
zbMATH Keywords: adjacent Lipschitzian elements
reviewed by: Grozio Stanilov
describes a project that uses: CLIFFORD
MaRDI profile type: Publication
full work available at URL: j.jalgebra.2010.09.029
OpenAlex ID: W2095506879
cites work: Q5283911
cites work: Q4889141
cites work: Q5795141
cites work: Q4132666
cites work: Q3731787
cites work: Monoïdes de Clifford et déformations d'algèbres de Clifford. (Clifford monoids and deformations of Clifford algebras)
cites work: Lipschitz monoids and Vahlen matrices
cites work: Q5421346
cites work: Albert Crumeyrolle's work on Clifford algebras and spinors
cites work: Q3791795
DOI: 10.1016/J.JALGEBRA.2010.09.029
description: scientific article; zbMATH DE number 5888504