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• W3100870832 abstract "We investigate the properties of the Extended Fock Basis (EFB) of Clifford algebras [1] with which one can replace the traditional multivector expansion of $${mathcal{C} ell(g)}$$ with an expansion in terms of simple (also: pure) spinors. We show that a Clifford algebra with 2m generators is the direct sum of 2 m spinor subspaces S characterized as being left eigenvectors of Γ; furthermore we prove that the well known isomorphism between simple spinors and totally null planes holds only within one of these spinor subspaces. We also show a new symmetry between spinor and vector spaces: similarly to a vector space of dimension 2m that contains totally null planes of maximal dimension m, also a spinor space of dimension 2 m contains “totally simple planes”, subspaces made entirely of simple spinors, of maximal dimension m." @default.
• W3100870832 created "2020-11-23" @default.
• W3100870832 creator A5068655218 @default.
• W3100870832 date "2011-11-16" @default.
• W3100870832 modified "2023-10-05" @default.
• W3100870832 title "The Extended Fock Basis of Clifford Algebra" @default.
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• W3100870832 doi "https://doi.org/10.1007/s00006-011-0316-2" @default.
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