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100   $a20150417d2015      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aPrincipal Bundles $eThe Quantum Case /$fby Stephen Bruce Sontz
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XV, 350 p.) 
225 1 $aUniversitext,$x0172-5939
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-15828-7 
320   $aIncludes bibliographical references and index.
327   $aIntroduction -- 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?.
330   $aThis introductory text is the first book about quantum principal bundles and their quantum connections which are natural generalizations to non-commutative geometry of principal bundles and their connections in differential geometry. To make for a more self-contained book there is also much background material on Hopf algebras, (covariant) differential calculi, braid groups and compatible conjugation operations. The approach is slow paced and intuitive in order to provide researchers and students in both mathematics and physics ready access to the material.
410  0$aUniversitext,$x0172-5939
606   $aMathematical physics
606   $aQuantum computers
606   $aQuantum physics
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
606   $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070
606   $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080
615  0$aMathematical physics.
615  0$aQuantum computers.
615  0$aQuantum physics.
615 14$aMathematical Physics.
615 24$aQuantum Computing.
615 24$aQuantum Physics.
676   $a530.15
700   $aSontz$b Stephen Bruce$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755560
801  0$bMiAaPQ
801  1$bMiAaPQ
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