03136nam 22006495 450 991029976510332120200705173154.03-319-15829-510.1007/978-3-319-15829-7(CKB)3710000000404027(SSID)ssj0001501677(PQKBManifestationID)11866165(PQKBTitleCode)TC0001501677(PQKBWorkID)11446539(PQKB)11039205(DE-He213)978-3-319-15829-7(MiAaPQ)EBC5579217(PPN)185489877(EXLCZ)99371000000040402720150417d2015 u| 0engurnn|008mamaatxtccrPrincipal Bundles The Quantum Case /by Stephen Bruce Sontz1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XV, 350 p.) Universitext,0172-5939Bibliographic Level Mode of Issuance: Monograph3-319-15828-7 Includes bibliographical references and index.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.Universitext,0172-5939Mathematical physicsQuantum computersQuantum physicsMathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Quantum Computinghttps://scigraph.springernature.com/ontologies/product-market-codes/M14070Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Mathematical physics.Quantum computers.Quantum physics.Mathematical Physics.Quantum Computing.Quantum Physics.530.15Sontz Stephen Bruceauthttp://id.loc.gov/vocabulary/relators/aut755560MiAaPQMiAaPQMiAaPQBOOK9910299765103321Principal bundles1522562UNINA