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Geometry Of The Octonions, The by Tevian Dray (Oregon State Univ, Usa) at Abbey's Bookshop,
Geometry Of The Octonions, The
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Tevian Dray (Oregon State Univ, Usa) Corinne A Manogue (Oregon State Univ, Usa)

Geometry Of The Octonions, The

Tevian Dray (Oregon State Univ, Usa),  Corinne A Manogue (Oregon State Univ, Usa)

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English
World Scientific Publishing Co Pte Ltd
10 April 2015
Mathematics & Sciences; Algebra; Geometry
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.
By:   , ,
Imprint:   World Scientific Publishing Co Pte Ltd
Country of Publication:   Singapore
ISBN:   9789811218187
ISBN 10:   9811218188
Pages:   228
Publication Date:  
Audience:   College/higher education ,  Further / Higher Education
Format:   Paperback
Publisher's Status:   Active

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