Relationen zwischen einfachen Isometrien in orthogonalen Gruppen

Nolte, Wolfgang

doi:10.1007/978-3-0348-5573-0_36

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Metric Vector Spaces2

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2021

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“…We refer to [15,16,39] for proofs and to [4,[9][10][11][12]14,29,37], [43, p. 18], [46], [50, 1.6.3], [53, pp. 156-159] for further details, generalisations and additional references.…”

Section: Metric Vector Spacesmentioning

confidence: 99%

Projective Metric Geometry and Clifford Algebras

Havlicek

2021

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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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“…We refer to [15,16,39] for proofs and to [4,[9][10][11][12]14,29,37], [43, p. 18], [46], [50, 1.6.3], [53, pp. 156-159] for further details, generalisations and additional references.…”

Section: Metric Vector Spacesmentioning

confidence: 99%

Projective Metric Geometry and Clifford Algebras

Havlicek

2021

Results Math

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“…We refer to [15], [16], [39] for proofs and to [4], [9], [10], [11], [12], [14], [29], [37], [43, p. 18], [46], [50, 1.6.3], [53, pp. 156-159] for further details, generalisations and additional references.…”

Section: Metric Vector Spacesmentioning

confidence: 99%

Projective metric geometry and Clifford algebras

Havlicek

2021

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Relationen zwischen einfachen Isometrien in orthogonalen Gruppen

Cited by 2 publications

References 2 publications

Projective Metric Geometry and Clifford Algebras

Projective Metric Geometry and Clifford Algebras

Projective metric geometry and Clifford algebras

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