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Representation Theory of the Virasoro Algebra

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...

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Bibliographic Details
Main Authors: Iohara, Kenji, Koga, Yoshiyuki (Author)
Format: eBook
Language:English
Published: London Springer London 2011, 2011
Edition:1st ed. 2011
Series:Springer Monographs in Mathematics
Subjects:
Special Functions
Topological Groups And Lie Groups
Lie Groups
Topological Groups
Nonassociative Rings
Algebra
Mathematical Physics
Discrete Mathematics
Non-associative Rings And Algebras
Theoretical, Mathematical And Computational Physics
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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

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