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Clifford Möbius Geometry

  • Craig A. Nolder
Chapter
Part of the Trends in Mathematics book series (TM)

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.

Keywords

Clifford composition algebras Compactification Conformal Mobius groups 

Mathematics Subject Classification (2010)

Primary 22-06; Secondary 16-06 

References

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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Craig A. Nolder
    • 1
  1. 1.Department of MathematicsFlorida State UniversityTallahasseeUSA

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