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An introduction to noncommutative differential geometry and its physical applications / John Madore.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 257.Publication details: Cambridge [England] ; New York : Cambridge University Press, 1999.Edition: 2nd edDescription: 1 online resource (vi, 321 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781107362789
  • 1107362784
Subject(s): Additional physical formats: Print version:: Introduction to noncommutative differential geometry and its physical applications.DDC classification:
  • 516.3/5 22
LOC classification:
  • QA564 .M32 1999eb
Other classification:
  • 31.51
  • 31.52
Online resources:
Contents:
1. Introduction -- 2. Differential Geometry -- 3. Matrix Geometry -- 4. Noncommutative Geometry -- 5. Vector Bundles -- 6. Cyclic Homology -- 7. Modifications of Space-Time -- 8. Extensions of Space-Time.
Summary: 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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Includes bibliographical references (pages 297-313) and index.

1. Introduction -- 2. Differential Geometry -- 3. Matrix Geometry -- 4. Noncommutative Geometry -- 5. Vector Bundles -- 6. Cyclic Homology -- 7. Modifications of Space-Time -- 8. Extensions of Space-Time.

Print version record.

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.

Added to collection customer.56279.3

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