Perspectives in lie theory /

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Bibliographic Details
Imprint:	Cham, Switzerland : Springer, 2017.
Description:	1 online resource
Language:	English
Series:	Springer INdAM series, 2281-518X ; volume 19 Springer INdAM series ; v. 19.
Subject:	Lie algebras. Lie groups. Lie algebras. Lie groups.
Format:	E-Resource Book
URL for this record:	http://pi.lib.uchicago.edu/1001/cat/bib/11455009

Hidden Bibliographic Details
Other authors / contributors:	Callegaro, Filippo, editor. Carnovale, Giovanna, editor. Caselli, Fabrizio, editor. De Concini, Corrado, editor. Sole, Alberto De, editor.
ISBN:	9783319589718 3319589717 9783319589701 3319589709 9783319589701
Digital file characteristics:	text file PDF
Notes:	Includes bibliographical references. Online resource; title from PDF title page (EBSCO, viewed December 20, 2017).
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 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.
Other form:	Printed edition: 9783319589701
Standard no.:	10.1007/978-3-319-58971-8

Table of 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 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.

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