ℤ2-gradings Of Clifford Algebras And Multivector Structures

dc.creatorMosna R.A.
dc.creatorMiralles D.
dc.creatorVaz Jr. J.
dc.date2003
dc.date2015-06-30T17:29:08Z
dc.date2015-11-26T15:40:57Z
dc.date2015-06-30T17:29:08Z
dc.date2015-11-26T15:40:57Z
dc.date.accessioned2018-03-28T22:49:25Z
dc.date.available2018-03-28T22:49:25Z
dc.identifier
dc.identifierJournal Of Physics A: Mathematical And General. , v. 36, n. 15, p. 4395 - 4405, 2003.
dc.identifier3054470
dc.identifier10.1088/0305-4470/36/15/312
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-0242329814&partnerID=40&md5=4689801011a980d367120b0760240a78
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/102232
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/102232
dc.identifier2-s2.0-0242329814
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1264496
dc.descriptionLet script C signℓ(V, g) be the real Clifford algebra associated with the real vector space V, endowed with a nondegenerate metric g. In this paper, we study the class of ℤ2-gradings of script C signℓ(V, g) which are somehow compatible with the multivector structure of the Grassmann algebra over V. A complete characterization for such ℤ 2-gradings is obtained by classifying all the even subalgebras coming from them. An expression relating such subalgebras to the usual even part of script C signℓ(V, g) is also obtained. Finally, we employ this framework to define spinor spaces, and to parametrize all the possible signature changes on script C signℓ(V, g) by ℤ2-gradings of this algebra.
dc.description36
dc.description15
dc.description4395
dc.description4405
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dc.languageen
dc.publisher
dc.relationJournal of Physics A: Mathematical and General
dc.rightsfechado
dc.sourceScopus
dc.titleℤ2-gradings Of Clifford Algebras And Multivector Structures
dc.typeArtículos de revistas


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