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|Type:||Artigo de periódico|
|Title:||ℤ2-gradings Of Clifford Algebras And Multivector Structures|
Vaz Jr. J.
|Abstract:||Let 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.|
|Appears in Collections:||Unicamp - Artigos e Outros Documentos|
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