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.
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© 1989 Kluwer Academic Publishers
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Lounesto, P., Springer, A. (1989). Möbius Tramsformations and Clifford Algebras of Euclidean and Anti-Euclidean Spaces. In: Ławrynowicz, J. (eds) Deformations of Mathematical Structures. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-2643-1_8
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DOI: https://doi.org/10.1007/978-94-009-2643-1_8
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-7693-7
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