Vector generators of the real Clifford algebras
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Song, Youngkwon | - |
dc.contributor.author | Lee, Doohann | - |
dc.date.available | 2020-02-28T06:45:00Z | - |
dc.date.created | 2020-02-06 | - |
dc.date.issued | 2015-12 | - |
dc.identifier.issn | 0308-1087 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/gachon/handle/2020.sw.gachon/9807 | - |
dc.description.abstract | In this paper, we introduce a method to obtain vector generators for the real matrix representation L p, q of the real Clifford algebra C l p, q from the real matrix representation L2n ( R) of C l 0, n with n = p+ q for every n. N. This can give a nice tool to classify the Clifford algebra C l p, q in the sense of generators. Also, we present the inverse of a nonzero vector in L2n ( R) and using the properties of vector generators in L p, q, we obtain some results about determinant and inverse of a vector in Ln- 1,1. Moreover, we show the relations of solutions for the linear equation xa = ax for some a. Delta in L0,2 and that for xb = bx in L p, q for some b. L p, q, where p + q = 2. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | TAYLOR & FRANCIS LTD | - |
dc.relation.isPartOf | LINEAR & MULTILINEAR ALGEBRA | - |
dc.title | Vector generators of the real Clifford algebras | - |
dc.type | Article | - |
dc.type.rims | ART | - |
dc.description.journalClass | 1 | - |
dc.identifier.wosid | 000361996200010 | - |
dc.identifier.doi | 10.1080/03081087.2015.1018812 | - |
dc.identifier.bibliographicCitation | LINEAR & MULTILINEAR ALGEBRA, v.63, no.12, pp.2448 - 2460 | - |
dc.description.isOpenAccess | N | - |
dc.identifier.scopusid | 2-s2.0-84942829955 | - |
dc.citation.endPage | 2460 | - |
dc.citation.startPage | 2448 | - |
dc.citation.title | LINEAR & MULTILINEAR ALGEBRA | - |
dc.citation.volume | 63 | - |
dc.citation.number | 12 | - |
dc.contributor.affiliatedAuthor | Lee, Doohann | - |
dc.type.docType | Article | - |
dc.subject.keywordAuthor | Clifford algebra | - |
dc.subject.keywordAuthor | matrix representation | - |
dc.subject.keywordAuthor | 15A66 | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
1342, Seongnam-daero, Sujeong-gu, Seongnam-si, Gyeonggi-do, Republic of Korea(13120)031-750-5114
COPYRIGHT 2020 Gachon University All Rights Reserved.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.