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The Geometry of the Octonions

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AuthorDray Tevian & Manogue Corinne A
ISBN9789814401814
Published LanguageEnglish
Publication Year2015
PublisherWorld Scientific
BindingHardback
Original Price$114
Pages228
Ships By2-3 days

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.

About the author
Oregon State Univ, USA

Additional information

Weight0.535 kg
Dimensions22.9 × 15.2 cm
Author

ISBN

Publisher

Pages

228

Ships By

2-3 days