GEOMETRY OF THE OCTONIONS, THE - Hardcover

Dray Tevian

Hardcover

ISBN 10: 9814401811 ISBN 13: 9789814401814

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.

Über diesen Titel

Von der hinteren Coverseite

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, and in fact, all 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.

Details zur Ausgabe

• Verlag: World Scientific
• Erscheinungsdatum: 2015
• Sprache: Englisch
• ISBN 10: 9814401811
• ISBN 13: 9789814401814
• Einband: Gebundene Ausgabe
• Anzahl der Seiten: 230
• Kontakt zum Hersteller: World Scientific Publishing; https://www.worldscientific.com/; ; 5 Toh Tuck Link; #01-01; 596224; Singapur
• Verantwortliche Person: gpsr@libri.de; gpsr@libri.de; ; Friedensallee 273; Hamburg; 22763; Deutschland