Perspectives in Lie Theory / / edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole

• Pubblicazione: Cham : , : Springer International Publishing : , : Imprint : Springer, , 2017
• Edizione: 1st ed. 2017.
• Descrizione fisica: 1 online resource (X, 461 p. 2788 illus., 5 illus. in color.)
• Disciplina: 511.6
• Soggetto topico: Nonassociative rings; Rings (Algebra); Mathematical physics; Algebraic topology; Combinatorics; Non-associative Rings and Algebras; Mathematical Physics; Algebraic Topology
• Persona (resp. second.): CallegaroFilippo; CarnovaleGiovanna; CaselliFabrizio; De ConciniCorrado; De SoleAlberto
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: 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.
• Sommario/riassunto: 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.
• Titolo autorizzato: Perspectives in Lie Theory
• ISBN: 3-319-58971-7
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910254296703321
• Lo trovi qui: Univ. Federico II
• Serie: Springer INdAM Series, . 2281-518X ; ; 19