03990nam a22005655i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001700153072001700170072002300187082001200210245027100222264008200493300004300575336002600618337002600644338003600670347002400706490006100730505061200791520125601403650001702659650002302676650002102699650003502720650002502755650002602780650002602806650001702832650005602849650003602905650004202941650004002983650002603023700002903049700003003078700002803108700002603136700002703162700003603189710003403225773002003259776003603279830006103315856004803376978-3-642-39383-9DE-He21320180115171743.0cr nn 008mamaa131030s2014 gw | s |||| 0|eng d a97836423938397 a10.1007/978-3-642-39383-92doi 4aQC19.2-20.85 7aPBWH2bicssc 7aMAT0030002bisacsh04a51922310aConformal Field Theories and Tensor Categoriesh[electronic resource] :bProceedings of a Workshop Held at Beijing International Center for Mathematical Research /cedited by Chengming Bai, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, Christoph Schweigert. 1aBerlin, Heidelberg :bSpringer Berlin Heidelberg :bImprint: Springer,c2014. aIX, 279 p. 15 illus.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aMathematical Lectures from Peking University,x2197-42090 aFrom Hopf algebras to tensor categories -- Pattern-of-zeros approach to Fractional quantum Hall states and a classification of symmetric polynomial of infinite variables -- Virasoro central changes for Nichols algebras -- Logarithmic bulk and boundary conformal field theory and the full centre construction -- Logarithmic tensor category theory for generalized modules for a conformal vertex algebra, I: Introduction and strongly graded algebras and their generalized modules -- C2-cofinite w-algebras and their logarithmic representations -- C1-co_niteness and fusion products of vertex operator algebras. aThe present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University, or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researchers looking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas. 0aMathematics. 0aAssociative rings. 0aRings (Algebra). 0aCategory theory (Mathematics). 0aHomological algebra. 0aNonassociative rings. 0aMathematical physics.14aMathematics.24aMathematical Applications in the Physical Sciences.24aAssociative Rings and Algebras.24aCategory Theory, Homological Algebra.24aNon-associative Rings and Algebras.24aMathematical Physics.1 aBai, Chengming.eeditor.1 aFuchs, Jürgen.eeditor.1 aHuang, Yi-Zhi.eeditor.1 aKong, Liang.eeditor.1 aRunkel, Ingo.eeditor.1 aSchweigert, Christoph.eeditor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9783642393822 0aMathematical Lectures from Peking University,x2197-420940uhttp://dx.doi.org/10.1007/978-3-642-39383-9