Möbius Tramsformations and Clifford Algebras of Euclidean and Anti-Euclidean Spaces

Pertti Lounesto and Arthur Springer
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Pertti Lounesto: Helsinki University of Technology, Institute of Mathematics
Arthur Springer: San Diego State University

A chapter in Deformations of Mathematical Structures, 1989, pp 79-90 from Springer

Abstract: Abstract L. Ahlfors studied Möbius transformations employing Clifford algebras of anti-euclidean spaces with negative definite quadratic forms. This paper gives a passage from the euclidean space (positive definite) to the anti- euclidean space (negative definite). The computations are realized without any extra dimensions or projective representations of the Möbius transformations, and so no book-keeping of superfluous parameters is needed. Conformai transformations in higher dimensions are applied to Cauchy-Riemann equations and Dirac spinors.

Keywords: Conformal Transformation; Clifford Algebra; Monogenic Function; Conformal Group; Projective Representation (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_8

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DOI: 10.1007/978-94-009-2643-1_8

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