Abstract
In every Clifford algebra \(\textrm{Cl}(V,Q)\) over a field, there is a Lip-schitz monoid (or semi-group) \(\textrm{Lip}(V,Q)\) that satisfies a lot of remarkable properties. In general, it is the multiplicative monoid generated by the vectors of the space V. Each of its two components is an irreducible algebraic submanifold. The present article is devoted to the equations that are satisifed by the coordinates of the elements of \(\textrm{Lip}(V,Q)\). The most remarkable property of these equations is their independence of the quadratic form Q. The theoretical knowledge involved in these equations is also concisely recalled.
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Communicated by Uwe Kaehler.
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Helmstetter, J. Equations Satisfied by the Coordinates of Lipschitzian Elements in Clifford Algebras. Adv. Appl. Clifford Algebras 33, 7 (2023). https://doi.org/10.1007/s00006-022-01230-2
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DOI: https://doi.org/10.1007/s00006-022-01230-2