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Principal Bundles = The Quantum Case /

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Principal Bundles = The Quantum Case /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Principal Bundles/ by Stephen Bruce Sontz.
其他題名:	The Quantum Case /
作者:	Sontz, Stephen Bruce.
面頁冊數:	XV, 350 p.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical physics. -
電子資源:	https://doi.org/10.1007/978-3-319-15829-7
ISBN:	9783319158297

Principal Bundles = The Quantum Case /
Sontz, Stephen Bruce.

Principal BundlesThe Quantum Case /[electronic resource] :by Stephen Bruce Sontz. - 1st ed. 2015. - XV, 350 p.online resource. - 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

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

527831
Mathematical physics.

LC Class. No.: QA401-425

Dewey Class. No.: 530.15

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