'Twisted duality' for Clifford Algebras

2014/07/05 by P. L. Robinson, Robinson, P. L. · 1 citation
Mathematics · #11E88 #15A66 #17A70 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1407.1420

openalex publication_date 2014/07/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Viewing the complex Clifford algebra C(V) of a real inner product space V as a superalgebra, we offer several proofs of the fact that if W is a subspace of the complexification of V then the supercommutant of the Clifford algebra C(W) is precisely the Clifford algebra C(W^⊥).

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• 'Twisted duality' in the \rm C^* Clifford algebra

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