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Perspectives in lie theory

Callegaro, Filippo.

Perspectives in lie theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	Perspectives in lie theoryedited by Filippo Callegaro ... [et al.].
other author:	Callegaro, Filippo.
Published:	Cham :Springer International Publishing :2017.
Description:	x, 461 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Lie algebras.
Online resource:	http://dx.doi.org/10.1007/978-3-319-58971-8
ISBN:	9783319589718$q(electronic bk.)

Perspectives in lie theory
Perspectives in lie theory[electronic resource] /edited by Filippo Callegaro ... [et al.]. - Cham :Springer International Publishing :2017. - x, 461 p. :ill., digital ;24 cm. - Springer INdAM series,v.192281-518X ;. - Springer INdAM series ;v.6..

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 Broue-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.

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.

ISBN: 9783319589718$q(electronic bk.)

Standard No.: 10.1007/978-3-319-58971-8doiSubjects--Topical Terms:

191078
Lie algebras.

LC Class. No.: QA252.3

Dewey Class. No.: 512.482

Perspectives in lie theory
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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 Broue-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.
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.
650 0 $a Lie algebras. $3 191078
650 0 $a Lie groups. $3 190898
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650 2 4 $a Non-associative Rings and Algebras. $3 274087
650 2 4 $a Mathematical Physics. $3 522725
650 2 4 $a Algebraic Topology. $3 273784
650 2 4 $a Combinatorics. $3 274788
700 1 $a Callegaro, Filippo. $3 758692
710 2 $a SpringerLink (Online service) $3 273601
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950 $a Mathematics and Statistics (Springer-11649)