An introduction to noncommutative differential geometry and its physical applications
著者
書誌事項
An introduction to noncommutative differential geometry and its physical applications
（London Mathematical Society lecture note series, 257）
Cambridge University Press, 1999
2nd ed
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注記
Bibliography: p. [297]-313
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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