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

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Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Springer INdAM Series ; 19 | SpringerLink BücherPublisher: Cham : Springer, 2017Description: Online-Ressource (X, 461 p. 2788 illus., 5 illus. in color, online resource)ISBN:

9783319589718

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Aufsatzsammlung

Additional physical formats: 9783319589701 | Erscheint auch als: 978-3-319-58970-1 Druck-Ausgabe | Erscheint auch als: Perspectives in Lie theory. Druck-Ausgabe. Cham, Switzerland : Springer Nature, 2017. x, 461 SeitenMSC: MSC: *17-06 | 17B69 | 81-06 | 20-06 | 81R10 | 20F36 | 00B25LOC classification:

QA252-252.5

DOI: DOI: 10.1007/978-3-319-58971-8Online resources:

Summary: 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 geometrySummary: 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 combinatoricsPPN: PPN: 1658623924Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SXMS | ZDB-2-SMA

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