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portada The Geometry of the Octonions (in English)
Type
Physical Book
Publisher
Year
2015
Language
English
Pages
228
Format
Paperback
ISBN13
9789811218187
Categories

The Geometry of the Octonions (in English)

Tevian Dray; Corinne A Manogue (Author) · Wspc · Paperback

The Geometry of the Octonions (in English) - Tevian Dray; Corinne A Manogue

Physical Book

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Synopsis "The Geometry of the Octonions (in English)"

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.

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All books in our catalog are Original.
The book is written in English.
The binding of this edition is Paperback.

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