Representation Theory of the Virasoro Algebra

• Main Authors: Iohara, Kenji (Author), Koga, Yoshiyuki (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: London : Springer London, 2011.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebra.; Nonassociative rings.; Rings (Algebra).; Topological groups.; Lie groups.; Special functions.; Combinatorics.; Physics.; Non-associative Rings and Algebras.; Theoretical, Mathematical and Computational Physics.; Topological Groups, Lie Groups.; Special Functions.

The Virasoro algebra is an infinite dimensional Lie algebra that plays an increasingly important role in mathematics and theoretical physics. This book describes some fundamental facts about the representation theory of the Virasoro algebra in a self-contained manner. Topics include the structure of...

Table of Contents:

• Preliminary
• Classification of Harish-Chandra Modules
• The Jantzen Filtration
• Determinant Formulae
• Verma Modules I: Preliminaries
• Verma Modules II: Structure Theorem
• A Duality among Verma Modules
• Fock Modules
• Rational Vertex Operator Algebras
• Coset Constructions for sl2
• Unitarisable Harish-Chandra Modules
• Homological Algebras
• Lie p-algebras
• Vertex Operator Algebras.