'Twisted duality' for Clifford Algebras

Published 5 Jul 2014 in math.RA | (1407.1420v1)

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 $C(W^{\perp})$.

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P. L. Robinson

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