The Geometry of the Octonions
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Book Overview There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternio...
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.
Book Details Format: Paperback | Pages: 210 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811218188
FormatPaperback
Pages210
LanguageEnglish
ISBN9811218188
EAN9789811218187
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeQUALITY PAPERBACK BOOKS
Weight0.69 Pounds
Length9.0 Inches
Width6.0 Inches
Height0.48 Inches
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