GEOMETRY OF THE OCTONIONS, THE - Softcover

Dray Tevian

 
9789811218187: GEOMETRY OF THE OCTONIONS, THE
Softcover
ISBN 10: 9811218188 ISBN 13: 9789811218187
Verlag: World Scientific, 2015

Inhaltsangabe

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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Verlag
World Scientific
Erscheinungsdatum
2015
Sprache
Englisch
ISBN 10 
9811218188
ISBN 13 
9789811218187
Einband
Taschenbuch
Anzahl der Seiten
230
Kontakt zum Hersteller
World Scientific Publishing
https://www.worldscientific.com/

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