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Principal bundles = the quantum case /

Sontz, Stephen Bruce.

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Principal bundles = the quantum case /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Principal bundles/ by 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.
[NT 15003449]:	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?.
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 bundles = the 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:

516853
Mathematical physics.

LC Class. No.: QC20

Dewey Class. No.: 530.15

Principal bundles = the quantum case /
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020 $a 9783319158297 (electronic bk.)
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100 1 $a Sontz, Stephen Bruce. $3 2145791
245 1 0 $a Principal bundles $h [electronic resource] : $b the quantum case / $c by Stephen Bruce Sontz.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2015.
300 $a xv, 350 p. : $b ill., digital ; $c 24 cm.
490 1 $a Universitext, $x 0172-5939
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.
650 0 $a Mathematical physics. $3 516853
650 0 $a Quantum theory. $3 516552
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Quantum Computing. $3 1620399
650 2 4 $a Quantum Physics. $3 893952
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
830 0 $a Universitext. $3 812115
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-15829-7
950 $a Mathematics and Statistics (Springer-11649)