An Introduction to Noncommutative Differential Geometry and its Physical Applications
This is an introduction to non-commutative geometry, with special emphasis on those cases where the structure algebra, which defines the geometry, is an algebra of matrices over the complex numbers. Applications to elementary particle physics are also discussed. This second edition is thoroughly revised and includes new material on reality conditions and linear connections plus examples from Jordanian deformations and quantum Euclidean spaces. Only some familiarity with ordinary differential geometry and the theory of fibre bundles is assumed, making this book accessible to graduate students and newcomers to this field.
- Mega author and great topic
- Book is from LMS invited lectures
- First edition has sold more than 1200 copies since publication in November 1995
Reviews & endorsements
'… clearly written authoritative text …'. A. I. Solomon, Contemporary Physics
Product details
February 2011Adobe eBook Reader
9780511893582
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
- 1. Introduction
- 2. Differential geometry
- 3. Matrix geometry
- 4. Non-commutative geometry
- 5. Vector bundles
- 6. Cyclic homology
- 7. Modifications of space-time
- 8. Extensions of space-time.