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Recent Developments in Infinite-Dimensional Lie Algebras and Conformal Field Theory.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Berman, Stephen
Otros Autores: Fendley, Paul, Huang, Yi-Zhi
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence : American Mathematical Society, 2002.
Colección:Contemporary Mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents
  • Talks Presented
  • Preface
  • Vertex Operator Algebras and the Representation Theory of Toroidal Algebras
  • Symmetric Functions and Representations of Quantum Affine Algebras
  • Two Realizations of Toroidal sl2(C)
  • Vertex Lie Algebras, Vertex Poisson Algebras and Vertex Algebras
  • Type A Fusion Rules from Elementary Group Theory
  • 1. Introduction
  • 2. Background
  • 3. A New Approach Incorporating Higher Multiplicities
  • 4. The case of N = 2
  • 5. The case of N = 3
  • References
  • Lie Algebra Automorphisms in Conformal Field Theory
  • On Lepowsky-Wilson's Z-AlgebraScattering Rules in Soliton Cellular Automata Associated with Crystal Bases
  • Algebra Versus Analysis in Statistical Mechanics and Quantum Field Theory
  • Weak Modules and Logarithmic Intertwining Operators for Vertex Operator Algebras
  • Conjugate Bailey Pairs
  • Irreducibility of Affine Heeke Algebra Modules Induced from Specht Modules
  • 1. Introduction
  • 2. Notation and definitions
  • 3. Partitions
  • 4. Multipartitions
  • 5. Main result
  • References
  • Algebraic Structures behind Hilbert Schemes and Wreath Products
  • 1. Introduction2. Algebraic structures behind Hilbert schemes
  • 3. Algebraic structures behind wreath products
  • 4. Interplay between Hilbert schemes and wreath products
  • 5. Appendix: A quiver variety description of YĐ?, n
  • References
  • Some Generalizations of Genus Zero Two-Dimensional Conformal Field Theory