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Geometry Of The Octonions, The
Engelsk Hardback
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Geometry Of The Octonions, The
Engelsk Hardback

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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 detaljer
Sprog:
Engelsk
Sider:
228
ISBN-13:
9789814401814
Indbinding:
Hardback
Udgave:
ISBN-10:
9814401811
Kategori:
Udg. Dato:
29 maj 2015
Længde:
21mm
Bredde:
237mm
Højde:
161mm
Forlag:
World Scientific Publishing Co Pte Ltd
Oplagsdato:
29 maj 2015
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