Title: Clifford algebras and representations of complex orthogonal groups
Abstract: The 2v-dimensional spinor representations of the complex orthogonal group SO(M, C) (M = 2v + 2) are discussed. By making use of the possibility of regarding the elements of the Clifford algebra C2v as sets of skewsymmetric tensors in M dimensions (rather than in 2v dimensions as in the usual treatment) general relations are obtained for the correspondences between rank 2 spinors and sets of tensors, valid for any dimensionality. The theory of two- and four-component spinors is discussed from the point of view obtained by considering the Lorentz group with reflections as a subgroup of SO(6, C).
Publication Year: 1972
Publication Date: 1972-11-01
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 5
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