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Principal Bundles The Quantum Case /

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 backgrou...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sontz, Stephen Bruce (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Colección:Universitext,
Temas:
Acceso en línea:Texto Completo

MARC

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300 |a XV, 350 p.  |b online resource. 
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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. 
650 0 |a Mathematical physics. 
650 0 |a Quantum computers. 
650 0 |a Quantum physics. 
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650 2 4 |a Quantum Physics. 
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