The Geometry of the Octonions - Couverture souple

Dray, Tevian; Manogue, Corinne A

 
9789811218187: The Geometry of the Octonions
Couverture souple
ISBN 10 : 9811218188 ISBN 13 : 9789811218187
Editeur : World Scientific Publishing Co Pte Ltd, 2015

Synopsis

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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2015
Langue
anglais
ISBN 10 
9811218188
ISBN 13 
9789811218187
Reliure
Broché
Nombre de pages
230
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne