An Introduction to Noncommutative Differential Geometry and its Physical Applications - Couverture souple

Madore, J.

Couverture souple

ISBN 10 : 0521467918 ISBN 13 : 9780521467919

Editeur : Cambridge University Press, 1995

Synopsis

This book provides an excellent introduction to the more elementary aspects of non-commutative geometry.

A propos du livre

Présentation de l'éditeur

A significant amount of the differential structure of a smooth manifold can be encoded in the algebra of smooth functions defined on it. A noncommutative geometry is what one obtains when one replaces this algebra by a noncommutative associative algebra. Of particular interest is the case when the algebra is of finite dimension, for example an algebra of matrices. The resulting geometry is rather trivial from the point of view of analysis and can serve as a simple introduction to some of the more elementary aspects of the noncommutative geometries which one can obtain by considering more general infinite-dimensional algebras. It also has certain specific additional properties which makes it well suited to the construction of finite models of space-time. A more or less complete survey of this geometry is given as well as some possible applications to elementary particle physics and field theory. This book arose from the 1994 LMS invited lectures and will be essential to mathematicians and theoretical physicists with an interest in noncommutative geometry.

Revue de presse

' ... an expositionary textbook ... It gives a flavour of some current attempts to understand the nature of space-time and to unify all physical forces into a single geometric principle.' David B. Fairlie, Bulletin of the London Mathematical Society

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1995
• Langue: anglais
• ISBN 10: 0521467918
• ISBN 13: 9780521467919
• Reliure: Broché
• Nombre de pages: 206
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France