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Clifford algebras and isotropes
Published online by Cambridge University Press: 18 May 2009
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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.
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- Copyright © Glasgow Mathematical Journal Trust 1987