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Principal bundles [electronic resource] : the quantum case / Stephen Bruce Sontz.

Sontz, S. B., author.
2015
QC20
Available Online
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Title
Principal bundles [electronic resource] : the quantum case / Stephen Bruce Sontz.
Author
Sontz, S. B., author.
ISBN
9783319158297 electronic book
3319158295 electronic book
9783319158280
DOI
https://doi.org/10.1007/978-3-319-15829-7
Published
Cham : Springer, 2015.
Language
English
Description
1 online resource (xv, 350 pages).
Item Number
10.1007/978-3-319-15829-7 doi
Call Number
QC20
Dewey Decimal Classification
530.15
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. 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.
Bibliography, etc. Note
Includes bibliographical references and index.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed April 28, 2015).
Series
Universitext.
Available in Other Form
Print version: 9783319158280
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Online Access
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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?.

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