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Clifford Möbius Geometry

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Topics in Clifford Analysis

Part of the book series: Trends in Mathematics ((TM))

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Abstract

The Riemann sphere is a compactification of the complex plane on which the complex Möbius group naturally acts. This Möbius group is isomorphic to the conformal orthogonal group SO +(1, 3). Here we give a unified approach to this compactification and the corresponding Möbius groups for the Clifford algebras of dimensions two and four.

Dedicated to Wolfgang Sprößig on the occasion of his 70th birthday

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Nolder, C.A. (2019). Clifford Möbius Geometry. In: Bernstein, S. (eds) Topics in Clifford Analysis. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-23854-4_18

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