E104-03 - Forschungsbereich Differentialgeometrie und geometrische Strukturen
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Journal:
Results in Mathematics
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ISSN:
1422-6383
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Date (published):
Dec-2021
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Number of Pages:
22
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Publisher:
SPRINGER BASEL AG
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Peer reviewed:
Yes
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Keywords:
Applied Mathematics; Mathematics (miscellaneous)
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Abstract:
Each vector space that is endowed with a quadratic form determines its Clifford algebra. This algebra, in turn, contains a distinguished group, known as the Lipschitz group. We show that only a quotient of this group remains meaningful in the context of projective metric geometry. This quotient of the Lipschitz group can be viewed as a point set in the projective space on the Clifford algebra and, under certain restrictions, leads to an algebraic description of so-called kinematic mappings.
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Research Areas:
außerhalb der gesamtuniversitären Forschungsschwerpunkte: 100%