Z_2-gradings of Clifford algebras and multivector structures

Simple item page
dc.creatorMosna, Ricardo A.
dc.creatorMiralles, David
dc.creatorVaz Jr, Jayme
dc.date2002-12-05
dc.date2003-03-12
dc.date.accessioned2026-07-07T04:29:38Z
dc.date.available2026-07-07T04:29:38Z
dc.descriptionLet Cl(V,g) be the real Clifford algebra associated to the real vector space V, endowed with a nondegenerate metric g. In this paper, we study the class of Z_2-gradings of Cl(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 Cl(V,g) is also obtained. Finally, we employ this framework to define spinor spaces, and to parametrize all the possible signature changes on Cl(V,g) by Z_2-gradings of this algebra.
dc.description10 pages, LaTeX; v2 accepted for publication in J. Phys. A
dc.identifierhttps://arxiv.org/abs/math-ph/0212020
dc.identifierhttp://arxiv.org/abs/math-ph/0212020
dc.identifierJ. Phys. A 36, 4395-4405 (2003)
dc.identifierdoi:10.1088/0305-4470/36/15/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57230
dc.subjectMathematical Physics
dc.subject15A66 (Primary) 15A75, 16W55, 81R05 (Secondary)
dc.titleZ_2-gradings of Clifford algebras and multivector structures
dc.typetext

Files

Collections

arXiv