Principal Bundles

The Quantum Case

Nonfiction, Science & Nature, Science, Physics, Mathematical Physics, Quantum Theory
Cover of the book Principal Bundles by Stephen Bruce Sontz, Springer International Publishing
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Author: Stephen Bruce Sontz ISBN: 9783319158297
Publisher: Springer International Publishing Publication: April 20, 2015
Imprint: Springer Language: English
Author: Stephen Bruce Sontz
ISBN: 9783319158297
Publisher: Springer International Publishing
Publication: April 20, 2015
Imprint: Springer
Language: English

This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The approach is slow paced and intuitive in order to provide researchers and students in both mathematics and physics ready access to the material.

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This introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The approach is slow paced and intuitive in order to provide researchers and students in both mathematics and physics ready access to the material.

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