Dewey Class |
512.48 |
Title |
Perspectives in Lie Theory ([EBook]) / edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole. |
Added Personal Name |
Callegaro, Filippo editor. |
Carnovale, Giovanna editor. |
Caselli, Fabrizio editor. |
De Concini, Corrado editor. |
De Sole, Alberto editor. |
Other name(s) |
SpringerLink (Online service) |
Publication |
Cham : : Springer International Publishing : : Imprint: Springer, , 2017. |
Physical Details |
X, 461 p. 2788 illus., 5 illus. in color. : online resource. |
Series |
Springer INdAM Series 2281-518X ; ; 19 |
ISBN |
9783319589718 |
Summary Note |
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.: |
Contents note |
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 Brou?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. |
System details note |
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users) |
Internet Site |
http://dx.doi.org/10.1007/978-3-319-58971-8 |
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