Explicit isomorphisms of real Clifford algebras
type: Item
instance of: scholarly article
title: Explicit isomorphisms of real Clifford algebras
zbMATH Open document ID: 1114.30051
DOI: 10.1155/IJMMS/2006/78613
author: Şenay Karapazar
author: Nedim Deǧırmencı
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2007-06-13T00:00:00Z
full work available at URL: https://eudml.org/doc/53147
review text: Summary: It is well known that the Clifford algebra Cl\(_{p,q}\) associated to a nondegenerate quadratic form on \(\mathbb R^n(n=p+q)\) is isomorphic to a matrix algebra \(K(m)\) or direct sum \(K(m)\oplus K(m)\) of matrix algebras, where \(K=\mathbb R,\mathbb C,\mathbb H\). On the other hand, there are no explicit expressions for these isomorphisms in literature. In this work, we give a method for the explicit construction of these isomorphisms.
Mathematics Subject Classification ID: 30G35
zbMATH DE Number: 5163999
MaRDI profile type: Publication
cites work: Q3136877
cites work: Q3996563
cites work: Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium
cites work: Q4344119
description: scientific article; zbMATH DE number 5163999