Abstract
In most cases, the Lipschitz monoid \(\textrm{Lip}(V,Q)\) is the multiplicative monoid (or semi-group) generated in the Clifford algebra \(\textrm{Cl}(V,Q)\) by the vectors of V. But the elements of \(\textrm{Lip}(V,Q)\) satisfy many other characteristic properties, very different from one another, which may as well be used as definitions of \(\textrm{Lip}(V,Q)\). The present work proposes several characteristic properties, and explores some of the ways that enable us to link one property to another.
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Communicated by Uwe Kaehler.
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Helmstetter, J. Various Characteristic Properties of Lipschitzian Elements in Clifford Algebras. Adv. Appl. Clifford Algebras 33, 43 (2023). https://doi.org/10.1007/s00006-023-01288-6
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DOI: https://doi.org/10.1007/s00006-023-01288-6