Vahlen Matrices for Non-Definite Metrics

J. Cnops ()
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J. Cnops: Universiteit Gent

A chapter in Clifford Algebras with Numeric and Symbolic Computations, 1996, pp 155-164 from Springer

Abstract: Abstract The relation between Möbius transformations -conformal mappings mapping generalized spheres to spheres- of a Euclidean or pseudo-Euclidean space, two by two matrices with entries in a Clifford algebra, and covering groups like O(p + 1, q + 1) are well known. Vahlen gave, already in the beginning of this century, a characterization of matrices describing Möbius transformations for the Euclidean case (without using the background of orthogonal groups). In this paper we give a criterion, in a form quite close to Vahlen’s, for the general case.

Keywords: Möbius transformations; Lipschitz group (search for similar items in EconPapers)
Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-8157-4_10

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DOI: 10.1007/978-1-4615-8157-4_10

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