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Principal bundlesthe quantum case /

Sontz, Stephen Bruce.

Principal bundlesthe quantum case /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Principal bundlesby Stephen Bruce Sontz.
Reminder of title:	the quantum case /
Author:	Sontz, Stephen Bruce.
Published:	Cham :Springer International Publishing :2015.
Description:	xv, 350 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Mathematical physics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-15829-7
ISBN:	9783319158297 (electronic bk.)

Principal bundlesthe quantum case /
Sontz, Stephen Bruce.

Principal bundlesthe quantum case /[electronic resource] :by Stephen Bruce Sontz. - Cham :Springer International Publishing :2015. - xv, 350 p. :ill., digital ;24 cm. - Universitext,0172-5939. - Universitext..

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?.

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.

ISBN: 9783319158297 (electronic bk.)

Standard No.: 10.1007/978-3-319-15829-7doiSubjects--Topical Terms:

190854
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

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505 0 $a 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?.
520 $a 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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