Representation theory of the virasoro algebra
Representations of Lie algebras sähkökirjat
Springer
2011
EISBN 9780857291608
Preface; Contents; Introduction; 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 2; Unitarisable Harish-Chandra Modules; Homological Algebras; Lie p-algebras; Vertex Operator Algebras; Further Topics; References; List of Symbols; Index.
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 Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations. Covering a wide range of material, this book has three appendices which provide bac.
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 Verma modules and Fock modules, the classification of (unitarizable) Harish-Chandra modules, tilting equivalence, and the rational vertex operator algebras associated to the so-called minimal series representations. Covering a wide range of material, this book has three appendices which provide bac.
