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Clifford algebras and isotropes

Published online by Cambridge University Press:  18 May 2009

P. L. Robinson
P. L. Robinson*
Affiliation:
Department Of Mathematics, University College Dublin, Belfield, Dublin 4
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Isotropes play a distinguished rôle in the algebra of spinors. Let V be an even-dimensional real vector space equipped with an inner product Bof arbitrary signature. An isotrope of (V, B) is a subspace of the complexification Vc on which Bc is identically zero. Denote by ρ the spin representation of the complex Clifford algebra C(Vc, Bc) on a space S of spinors.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 29 , Issue 2 , July 1987 , pp. 249 - 257
Copyright
Copyright © Glasgow Mathematical Journal Trust 1987

References

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