Explicit isomorphisms of real Clifford algebras

Explicit isomorphisms of real Clifford algebras

It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,ℍ. On the other hand, there are no explicit expressions for these isomorphisms in literature. In...

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Main Authors: N. Değırmencı, Ş. Karapazar
Format: Article
Language:English
Published: Hindawi Limited 2006-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/IJMMS/2006/78613
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spelling doaj-c2669ff6ba91496889ba623926c6c2bf2020-11-24T23:02:07ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/7861378613Explicit isomorphisms of real Clifford algebrasN. Değırmencı0Ş. Karapazar1Department of Mathematics, Faculty of Science, Anadolu University, Eskisehir 26470, TurkeyDepartment of Mathematics, Faculty of Science, Anadolu University, Eskisehir 26470, TurkeyIt is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,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.http://dx.doi.org/10.1155/IJMMS/2006/78613
collection DOAJ
language English
format Article
sources DOAJ
author N. Değırmencı
Ş. Karapazar
spellingShingle N. Değırmencı
Ş. Karapazar
Explicit isomorphisms of real Clifford algebras
International Journal of Mathematics and Mathematical Sciences
author_facet N. Değırmencı
Ş. Karapazar
author_sort N. Değırmencı
title Explicit isomorphisms of real Clifford algebras
title_short Explicit isomorphisms of real Clifford algebras
title_full Explicit isomorphisms of real Clifford algebras
title_fullStr Explicit isomorphisms of real Clifford algebras
title_full_unstemmed Explicit isomorphisms of real Clifford algebras
title_sort explicit isomorphisms of real clifford algebras
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2006-01-01
description It is well known that the Clifford algebra Clp,q associated to a nondegenerate quadratic form on ℝn (n=p+q) is isomorphic to a matrix algebra K(m) or direct sum K(m)⊕K(m) of matrix algebras, where K=ℝ,ℂ,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.
url http://dx.doi.org/10.1155/IJMMS/2006/78613
work_keys_str_mv AT ndegırmencı explicitisomorphismsofrealcliffordalgebras
AT skarapazar explicitisomorphismsofrealcliffordalgebras
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