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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.Publisher: Cambridge : Cambridge University Press, 1999Edition: Second editionDescription: 1 online resource (vi, 321 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511569357 (ebook)
Other title:
  • An Introduction to Noncommutative Differential Geometry & its Physical Applications
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 516.3/5 21
LOC classification:
  • QA564 .M32 1999
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.
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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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.

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.

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