An Introduction to Noncommutative Differential Geometry and its Physical Applications / J. Madore.

By: Madore, J [author.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 257Publisher: Cambridge : Cambridge University Press, 1999Edition: 2nd edDescription: 1 online resource (380 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511569357 (ebook)Other title: An Introduction to Noncommutative Differential Geometry & its Physical ApplicationsSubject(s): Geometry, Algebraic | Noncommutative differential geometryAdditional physical formats: Print version: : No titleDDC classification: 516.3/5 LOC classification: QA564 | .M32 1999Online resources: Click here to access online 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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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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