The Geometry Of The Octonions
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Word Count
52,500 words, Guess
Page Count
210 pages
Identifiers
- Open LibraryOL25969469M
- ISBN-139789814401814
- OCLC Control Number785872360
- Library of Congress Control Number2015003048
Classifications
- LCCQA252.5 .D73 2015
- LCCQA252.5.D73 2015
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.--Publisher website.
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Other Editions
- The Geometry Of The Octonions
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