2023-06-02   86175

Matrix Representations of Clifford Algebras

Article 03910 introduced Clifford algebra, which can be used to construct the spin group (article 08264), a special double cover of the part of the group of Lorentz transformations that is generated by pairs of reflections. Clifford algebras admit matrix representations in which each basis vector is represented by a Dirac matrix. This article shows how to construct matrix representations for Clifford algebras of any signature in any number of dimensions.

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www.cphysics.org updated 2023-06-02