Geometry Of The Octonions, The - Image 1

£34.38

World Scientific Publishing Company Geometry Of The Octonions, The

Name: Geometry Of The Octonions, The
Brand: World Scientific Publishing Company
Price: 34.38 GBP
Availability: InStock

Algebra

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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.

Product Specifications

Brand: World Scientific Publishing Company
Format: Paperback
ASIN: 9811218188
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Algebra
Domain: Amazon UK
Release Date: 29 May 2015
Listed Since: 16 January 2020

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