Tensor product decompositions of the real clifford algebra
DC Field | Value | Language |
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dc.contributor.author | Song, Y. | - |
dc.contributor.author | Lee, D. | - |
dc.date.available | 2020-02-28T10:45:47Z | - |
dc.date.created | 2020-02-12 | - |
dc.date.issued | 2015-09 | - |
dc.identifier.issn | 0972-0871 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/10976 | - |
dc.description.abstract | In this paper, we present some methods to decompose the Clifford algebra Cl<inf>p,q</inf> into some Clifford algebras via tensor product by using the vector generators of Cl<inf>0, p</inf>, Cl<inf>0,q</inf> and Cl<inf>p,0</inf> In particular, we prove that Cl<inf>n−k+1,k−1</inf> is isomorphic to Cl<inf>0,n k+1</inf> ⊗ Cl<inf>0,k−1</inf> if k −1= 2t for some odd number t and Cl<inf>n−k+1,k−1</inf> is isomorphic to Cl<inf>n-k+1, 0</inf> ⊗ CA0, k−1 if k − 1 = 2t for some even number t. Furthermore, we apply those results to matrix representations of the real Clifford algebras.a. © 2015 Pushpa Publishing House, Allahabad, India. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | Pushpa Publishing House | - |
dc.relation.isPartOf | Far East Journal of Mathematical Sciences | - |
dc.title | Tensor product decompositions of the real clifford algebra | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.description.journalClass | 1 | - |
dc.identifier.doi | 10.17654/FJMSSep2015_119_131 | - |
dc.identifier.bibliographicCitation | Far East Journal of Mathematical Sciences, v.98, no.1, pp.119 - 131 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.scopusid | 2-s2.0-84939191330 | - |
dc.citation.endPage | 131 | - |
dc.citation.startPage | 119 | - |
dc.citation.title | Far East Journal of Mathematical Sciences | - |
dc.citation.volume | 98 | - |
dc.citation.number | 1 | - |
dc.contributor.affiliatedAuthor | Lee, D. | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Clifford algebra | - |
dc.subject.keywordAuthor | Matrix representation | - |
dc.description.journalRegisteredClass | scopus | - |
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