An Introduction to Noncommutative Differential Geometry and Its Physical Applications

Revised
ISBN: 978-0-521-65991-8
Verlag: Cambridge University Press

Buch, Englisch, Band 257, 378 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 616 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Madore, J.

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie

Inhaltsverzeichnis

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.