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Factorization of Lipschitzian Elements

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Abstract

A lipschitzian element a is given in a Clifford algebra Cℓ(V, q) over a field K that contains at least three scalars. Here we prove that, if a is not in the subalgebra generated by a totally isotropic subspace of V, then it is a product of linearly independent vectors of V. An effective algorithm is proposed to decompose a into such a product of vectors.

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Authors and Affiliations

  1. Institut Fourier, Université de Grenoble I, B.P. 74, 38402, Saint-Martin d’Hères, France

    Jacques Helmstetter

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  1. Jacques Helmstetter
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Correspondence to Jacques Helmstetter.

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Helmstetter, J. Factorization of Lipschitzian Elements. Adv. Appl. Clifford Algebras 24, 675–712 (2014). https://doi.org/10.1007/s00006-014-0467-z

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  • DOI: https://doi.org/10.1007/s00006-014-0467-z

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