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© 2015

Principal Bundles

The Quantum Case

Textbook

Part of the Universitext book series (UTX)

Table of contents

  1. Front Matter
    Pages i-xv
  2. Stephen Bruce Sontz
    Pages 1-6
  3. Stephen Bruce Sontz
    Pages 7-17
  4. Stephen Bruce Sontz
    Pages 19-36
  5. Stephen Bruce Sontz
    Pages 37-40
  6. Stephen Bruce Sontz
    Pages 41-63
  7. Stephen Bruce Sontz
    Pages 65-105
  8. Stephen Bruce Sontz
    Pages 107-122
  9. Stephen Bruce Sontz
    Pages 123-125
  10. Stephen Bruce Sontz
    Pages 127-137
  11. Stephen Bruce Sontz
    Pages 139-160
  12. Stephen Bruce Sontz
    Pages 161-180
  13. Stephen Bruce Sontz
    Pages 181-276
  14. Stephen Bruce Sontz
    Pages 277-295
  15. Stephen Bruce Sontz
    Pages 297-317
  16. Stephen Bruce Sontz
    Pages 319-320
  17. Stephen Bruce Sontz
    Pages E1-E1
  18. Back Matter
    Pages 321-350

About this book

Introduction

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.

Keywords

Braid Groups Covariant Bimodules Covariant Fodc’s Differential Calculus First Order Differential Calculus

Authors and affiliations

  1. 1.Centro de Investigacion en MatematicasGuanajuatoMexico

About the authors

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.

Bibliographic information

Industry Sectors
Aerospace

Reviews

“The book contains a lot of exercises of different degree of difficulties, but the proofs of the theorems are done in detail. The 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)