04360nam 22006975 450 991025429670332120200704214308.03-319-58971-710.1007/978-3-319-58971-8(CKB)4100000001381569(DE-He213)978-3-319-58971-8(MiAaPQ)EBC5275456(PPN)222229004(EXLCZ)99410000000138156920171207d2017 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierPerspectives in Lie Theory /edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole1st ed. 2017.Cham :Springer International Publishing :Imprint: Springer,2017.1 online resource (X, 461 p. 2788 illus., 5 illus. in color.) Springer INdAM Series,2281-518X ;193-319-58970-9 Includes bibliographical references.Part 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.Lie 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.Springer INdAM Series,2281-518X ;19Nonassociative ringsRings (Algebra)Mathematical physicsAlgebraic topologyCombinatoricsNon-associative Rings and Algebrashttps://scigraph.springernature.com/ontologies/product-market-codes/M11116Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Algebraic Topologyhttps://scigraph.springernature.com/ontologies/product-market-codes/M28019Combinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Nonassociative rings.Rings (Algebra).Mathematical physics.Algebraic topology.Combinatorics.Non-associative Rings and Algebras.Mathematical Physics.Algebraic Topology.Combinatorics.511.6Callegaro Filippoedthttp://id.loc.gov/vocabulary/relators/edtCarnovale Giovannaedthttp://id.loc.gov/vocabulary/relators/edtCaselli Fabrizioedthttp://id.loc.gov/vocabulary/relators/edtDe Concini Corradoedthttp://id.loc.gov/vocabulary/relators/edtDe Sole Albertoedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910254296703321Perspectives in Lie Theory1563052UNINA