LEADER 04360nam 22006975 450 001 9910254296703321 005 20200704214308.0 010 $a3-319-58971-7 024 7 $a10.1007/978-3-319-58971-8 035 $a(CKB)4100000001381569 035 $a(DE-He213)978-3-319-58971-8 035 $a(MiAaPQ)EBC5275456 035 $a(PPN)222229004 035 $a(EXLCZ)994100000001381569 100 $a20171207d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aPerspectives in Lie Theory /$fedited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (X, 461 p. 2788 illus., 5 illus. in color.) 225 1 $aSpringer INdAM Series,$x2281-518X ;$v19 311 $a3-319-58970-9 320 $aIncludes bibliographical references. 327 $aPart I Lecture notes. - 1 Introduction to vertex algebras, Poisson vertex algebras, and integrable Hamiltonian PDE -- 2 An introduction to algebras of chiral differential operators -- 3 Representations of Lie Superalgebras -- 4 Introduction toW-algebras and their representation theory. Part II Contributed papers -- 5 Representations of the framisation of the Temperley?Lieb algebra -- 6 Some semi-direct products with free algebras of symmetric invariants -- 7 On extensions of affine vertex algebras at half-integer levels -- 8 Dirac cohomology in representation theory -- 9 Superconformal Vertex Algebras and Jacobi Forms -- 10 Centralizers of nilpotent elements and related problems -- 11 Pluri-Canonical Models of Supersymmetric Curves -- 12 Report on the Broué-Malle-Rouquier conjectures -- 13 A generalization of the Davis-Januszkiewicz construction -- 14 Restrictions of free arrangements and the division theorem -- 15 The pure braid groups and their relatives -- 16 Homological representations of braid groups and the space of conformal blocks -- 17 Totally nonnegative matrices, quantum matrices and back, via Poisson geometry. 330 $aLie theory is a mathematical framework for encoding the concept of symmetries of a problem, and was the central theme of an INdAM intensive research period at the Centro de Giorgi in Pisa, Italy, in the academic year 2014-2015. This book gathers the key outcomes of this period, addressing topics such as: structure and representation theory of vertex algebras, Lie algebras and superalgebras, as well as hyperplane arrangements with different approaches, ranging from geometry and topology to combinatorics. 410 0$aSpringer INdAM Series,$x2281-518X ;$v19 606 $aNonassociative rings 606 $aRings (Algebra) 606 $aMathematical physics 606 $aAlgebraic topology 606 $aCombinatorics 606 $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116 606 $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000 606 $aAlgebraic Topology$3https://scigraph.springernature.com/ontologies/product-market-codes/M28019 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aNonassociative rings. 615 0$aRings (Algebra). 615 0$aMathematical physics. 615 0$aAlgebraic topology. 615 0$aCombinatorics. 615 14$aNon-associative Rings and Algebras. 615 24$aMathematical Physics. 615 24$aAlgebraic Topology. 615 24$aCombinatorics. 676 $a511.6 702 $aCallegaro$b Filippo$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCarnovale$b Giovanna$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aCaselli$b Fabrizio$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDe Concini$b Corrado$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aDe Sole$b Alberto$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254296703321 996 $aPerspectives in Lie Theory$91563052 997 $aUNINA