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Type: Artigo de periódico
Title: Z(2)-gradings of Clifford algebras and multivector structures
Author: Mosna, RA
Miralles, D
Vaz, J
Abstract: Let Cl(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 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.
Country: Inglaterra
Editor: Iop Publishing Ltd
Rights: fechado
Identifier DOI: 10.1088/0305-4470/36/15/312
Date Issue: 2003
Appears in Collections:Artigos e Materiais de Revistas Científicas - Unicamp

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