Division Algebras Alone

  • Geoffrey M. Dixon
Part of the Mathematics and Its Applications book series (MAIA, volume 290)

Abstract

The octonion algebra, O, is generally developed as an extension of the quaternion algebra, Q. Let q i , i= 1,2,3, be a conventional basis for the hypercomplex quaternions. These elements associate, anticommute, and satisfy q i 2 = -1.

Keywords

Adjoint Representation Division Algebra Clifford Algebra Spinor Space Quaternion Algebra 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media Dordrecht 1994

Authors and Affiliations

  • Geoffrey M. Dixon
    • 1
  1. 1.Brandeis UniversityUSA

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