Principal Bundles by Stephen Bruce Sontz

Principal Bundles by Stephen Bruce Sontz

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Summary

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.

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Principal Bundles by Stephen Bruce Sontz

Introduction.- First Order Differential Calculus.- Fodc's of a Hopf Algebra.- Adjoint Co-action.- Covariant Bimodules.- Covariant Fodc's.- The Braid Groups.- An Interlude: Some Abstract Nonsense.- The Braided Exterior Algebra.- Higher Order Differential Calculus.- Structures.- Quantum Principal Bundles.- Finite Classical Groups.- Dunkl Operators as Covariant Derivatives in a QPB.- What Next?.
“The book contains a lot of exercises of different degree of difficulties, but the proofs of the theorems are done in detailThe book is very elaborate and very welcome not only for graduate students, but also for all people interested in mathematical physics.” (Stefan Berceanu, zbMATH 1358.58002, 2017)

Stephen Bruce Sontz is a Professor at Centro de Investigacion en Matematicas (CIMAT). He received his Ph.D. from the University of Virginia, USA, in 1994.
SKU Unavailable
ISBN 13 9783319158280
ISBN 10 3319158287
Title Principal Bundles
Author Stephen Bruce Sontz
Series Universitext
Condition Unavailable
Binding Type Paperback
Publisher Springer International Publishing AG
Year published 2015-04-30
Number of pages 350
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable