The Geometry Of The Octonions

Released on by Tevian Dray
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  • The Geometry Of The Octonions Book Detail

  • Author : Tevian Dray
  • Release Date : 2015-04-08
  • Publisher : World Scientific
  • Genre : Mathematics
  • Pages : 229
  • ISBN 13 : 9814401838
  • File Size : 52,52 MB
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The Geometry Of The Octonions by Tevian Dray PDF Summary

Book Description: There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe rotations in three dimensions. In fact, all (continuous) symmetry groups are based on one of these four number systems. This book provides an elementary introduction to the properties of the octonions, with emphasis on their geometric structure. Elementary applications covered include the rotation groups and their spacetime generalization, the Lorentz group, as well as the eigenvalue problem for Hermitian matrices. In addition, more sophisticated applications include the exceptional Lie groups, octonionic projective spaces, and applications to particle physics including the remarkable fact that classical supersymmetry only exists in particular spacetime dimensions.

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The Geometry Of The Octonions

The Geometry Of The Octonions

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There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions naturally describe r

On Quaternions and Octonions

On Quaternions and Octonions

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This book investigates the geometry of quaternion and octonion algebras. Following a comprehensive historical introduction, the book illuminates the special pro

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Division Algebras:

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