LEADER 04344nam 22007095 450 001 9910300144203321 005 20251230060725.0 010 $a9783642393839 010 $a3642393837 024 7 $a10.1007/978-3-642-39383-9 035 $a(OCoLC)869793163 035 $a(MiFhGG)GVRL6YDI 035 $a(CKB)3710000000057932 035 $a(MiAaPQ)EBC1592555 035 $a(MiFhGG)9783642393839 035 $a(DE-He213)978-3-642-39383-9 035 $a(EXLCZ)993710000000057932 100 $a20131030d2014 u| 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 10$aConformal Field Theories and Tensor Categories $eProceedings of a Workshop Held at Beijing International Center for Mathematical Research /$fedited by Chengming Bai, Jürgen Fuchs, Yi-Zhi Huang, Liang Kong, Ingo Runkel, Christoph Schweigert 205 $a1st ed. 2014. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d2014. 215 $a1 online resource (ix, 279 pages) $cillustrations (some color) 225 1 $aMathematical Lectures from Peking University,$x2197-4217 300 $a"ISSN: 2197-4209." 311 08$a9783642393822 311 08$a3642393829 320 $aIncludes bibliographical references. 327 $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. 330 $aThe present volume is a collection of seven papers that are either based on the talks presented at the workshop "Conformal field theories and tensor categories" held June 13 to June 17, 2011 at the Beijing International Center for Mathematical Research, Peking University,  or are extensions of the material presented in the talks at the workshop. These papers present new developments beyond rational conformal field theories and modular tensor categories and new applications in mathematics and physics. The topics covered include tensor categories from representation categories of Hopf algebras, applications of conformal field theories and tensor categories to topological phases and gapped systems, logarithmic conformal field theories and the corresponding non-semisimple tensor categories, and new developments in the representation theory of vertex operator algebras. Some of the papers contain detailed introductory material that is helpful for graduate students and researcherslooking for an introduction to these research directions. The papers also discuss exciting recent developments in the area of conformal field theories, tensor categories and their applications and will be extremely useful for researchers working in these areas. 410 0$aMathematical Lectures from Peking University,$x2197-4217 606 $aMathematical physics 606 $aAssociative rings 606 $aAssociative algebras 606 $aAlgebra, Homological 606 $aNonassociative rings 606 $aMathematical Physics 606 $aAssociative Rings and Algebras 606 $aCategory Theory, Homological Algebra 606 $aNon-associative Rings and Algebras 615 0$aMathematical physics. 615 0$aAssociative rings. 615 0$aAssociative algebras. 615 0$aAlgebra, Homological. 615 0$aNonassociative rings. 615 14$aMathematical Physics. 615 24$aAssociative Rings and Algebras. 615 24$aCategory Theory, Homological Algebra. 615 24$aNon-associative Rings and Algebras. 676 $a285 702 $aBai$b Chengming 712 12$aConformal Field Theories and Tensor Categories (Workshop)$f(2011 :$ePeking University), 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910300144203321 996 $aConformal field theories and tensor categories$91409915 997 $aUNINA