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Titolo: | 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 |
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