Division Algebras Alone

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


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.


Adjoint Representation Division Algebra Clifford Algebra Spinor Space Quaternion Algebra 
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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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