The Geometry of the Octonions - Couverture rigide

Dray, Tevian; Manogue, Corinne A

 
9789814401814: The Geometry of the Octonions
Couverture rigide
ISBN 10 : 9814401811 ISBN 13 : 9789814401814
Editeur : World Scientific Publishing Co Pte Ltd, 2015

Synopsis

This is an attractive book, with many thought provoking and novel ideas. It is also very well presented with good quality paper and typography, which make it very pleasant to handle. - David B Fairlie, Emeritus Professor

Anybody interested in the topics covered here should find this book to be a valuable reference. - Mathematical Association of America

... this is a really interesting book. It has encouraged me to further explore this fascinating topic. - London Mathematical Society Newsletter

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.

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

Présentation de l'éditeur

This is an attractive book, with many thought provoking and novel ideas. It is also very well presented with good quality paper and typography, which make it very pleasant to handle. - David B Fairlie, Emeritus Professor

Anybody interested in the topics covered here should find this book to be a valuable reference. - Mathematical Association of America

... this is a really interesting book. It has encouraged me to further explore this fascinating topic. - London Mathematical Society Newsletter

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.

Revue de presse

The book presents a nice addition to the literature and may serve as a primer for more advanced texts. --Zentralblatt MATH

The book under review is a nice addition and will serve as an introduction to more advanced material. --Mathematical Reviews

The book offers an abundance of explicit constructions that are valuable for both beginners and experts, who often tend to underestimate such an approach in the pursuit of abstract ideas ... It is an interesting compilation of an approachable introductory level review on division algebras and their connection to Lie groups. --Journal of Geometry and Symmetry in Physics

Les informations fournies dans la section « A propos du livre » 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 
9814401811
ISBN 13 
9789814401814
Reliure
Relié
Nombre de pages
230
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
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Allemagne