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.
Rezensionen / Stimmen
'... clearly written authoritative text ...'. A. I. Solomon, Contemporary Physics
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Editions-Typ
Produkt-Hinweis
Illustrationen
Worked examples or Exercises
Maße
Höhe: 229 mm
Breite: 152 mm
Dicke: 23 mm
Gewicht
ISBN-13
978-0-521-65991-8 (9780521659918)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Klassifikation
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.
