Perspectives in Lie Theory

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 suc...

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Bibliographic Details
Other Authors: Callegaro, Filippo (Editor), Carnovale, Giovanna (Editor), Caselli, Fabrizio (Editor), De Concini, Corrado (Editor)
Format: eBook
Language:English
Published: Cham Springer International Publishing 2017, 2017
Edition:1st ed. 2017
Series:Springer INdAM Series
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Perspectives in Lie Theory  |h Elektronische Ressource  |c edited by Filippo Callegaro, Giovanna Carnovale, Fabrizio Caselli, Corrado De Concini, Alberto De Sole 
250 |a 1st ed. 2017 
260 |a Cham  |b Springer International Publishing  |c 2017, 2017 
300 |a X, 461 p. 2788 illus., 5 illus. in color  |b online resource 
505 0 |a 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 
653 |a Combinatorics 
653 |a Rings (Algebra) 
653 |a Nonassociative rings 
653 |a Mathematical Physics 
653 |a Non-associative Rings and Algebras 
653 |a Algebraic Topology 
653 |a Mathematical physics 
653 |a Algebraic topology 
653 |a Combinatorics 
700 1 |a Carnovale, Giovanna  |e [editor] 
700 1 |a Caselli, Fabrizio  |e [editor] 
700 1 |a De Concini, Corrado  |e [editor] 
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520 |a 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