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Division Algebras, Clifford Algebras, Periodicity

  • Geoffrey DixonEmail author
Article
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Part of the following topical collections:
  1. Homage to Prof. W.A. Rodrigues Jr

Abstract

The dimensions 2, 8 and 24 play significant roles in lattice theory. In Clifford algebra theory there are well-known periodicities of the first two of these dimensions. Using novel representations of the purely Euclidean Clifford algebras over all four of the division algebras, \({\mathbf{R}}\), \({\mathbf{C}}\), \({\mathbf{H}}\), and \({\mathbf{O}}\), a door is opened to a Clifford algebra periodicity of order 24 as well.

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.DurhamUK

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