The Geometry Of The Octonions is popular PDF and ePub book, written by Tevian Dray in 2015-04-08, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, The Geometry Of The Octonions can be Read Online from any device for your convenience.
The Geometry Of The Octonions Book PDF Summary
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.
Detail Book of The Geometry Of The Octonions PDF
- Author : Tevian Dray
- Release : 08 April 2015
- Publisher : World Scientific
- ISBN : 9789814401838
- Genre : Mathematics
- Total Page : 229 pages
- Language : English
- PDF File Size : 15,9 Mb
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