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arXiv · 1006.1616

The Extended Fock Basis of Clifford Algebra

Marco Budinich
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Abstract

We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras introduced in [1]. We show that a Clifford algebra can be seen as a direct sum of multiple spinor subspaces that are characterized as being left eigenvectors of Γ. We also show that a simple spinor, expressed in Fock basis, can have a maximum number of non zero coordinates that equals the size of the maximal totally null plane (with the notable exception of vectorial spaces with 6 dimensions).

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Marco Budinich. 2012-05-19. The Extended Fock Basis of Clifford Algebra. https://doi.org/10.1007/s00006-011-0316-2

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