Series 
Springer INdAM series, 2281518X ; volume 19 

Springer INdAM series ;
v. 19.

Subject 
Lie algebras.


Lie groups.

Alt Name 
Callegaro, Filippo,


Carnovale, Giovanna,


Caselli, Fabrizio,


De Concini, Corrado,


Sole, Alberto De,

Description 
1 online resource. 
Bibliography Note 
Includes bibliographical references. 
Contents 
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 toWalgebras and their representation theory. Part II Contributed papers  5 Representations of the framisation of the TemperleyLieb algebra  6 Some semidirect products with free algebras of symmetric invariants  7 On extensions of affine vertex algebras at halfinteger levels  8 Dirac cohomology in representation theory  9 Superconformal Vertex Algebras and Jacobi Forms  10 Centralizers of nilpotent elements and related problems  11 PluriCanonical Models of Supersymmetric Curves  12 Report on the BroueMalleRouquier conjectures  13 A generalization of the DavisJanuszkiewicz 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. 

Part I Lecture notes.  1 Introduction to vertex algebras, Poisson vertex algebras, and鮴egrable Hamiltonian PDE  2 An introduction to algebras of chiral differential operators  3 Representations of Lie Superalgebras  4 Introduction toWalgebras and their representation theory. Part II Contributed papers  5 Representations of the framisation of the TemperleyLieb algebra  6 Some semidirect products with free algebras of symmetric invariants  7 On extensions of affine vertex algebras at halfinteger levels  8 Dirac cohomology in representation theory  9 Superconformal Vertex Algebras and Jacobi Forms  10 Centralizers of nilpotent elements and related problems  11 PluriCanonical Models of Supersymmetric Curves  12 Report on the Brou魍alleRouquier conjectures  13 A generalization of the DavisJanuszkiewicz 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. 
Summary 
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 20142015. 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. 
Note 
Online resource; title from PDF title page (EBSCO, viewed December 20, 2017). 
ISBN 
9783319589718 (electronic bk.) 

3319589717 (electronic bk.) 

9783319589701 (print) 

3319589709 

9783319589701 
ISBN/ISSN 
10.1007/9783319589718 
OCLC # 
1015239853 
Additional Format 
Printed edition: 9783319589701 
