Generalized Vertex Algebras and Relative Vertex Operators

Generalized Vertex Algebras and Relative Vertex Operators by Chongying Dong, James Lepowsky.

The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are know...

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Bibliographic Details
Main Authors: Dong, Chongying (Author), Lepowsky, James (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Boston, MA : Birkhäuser Boston : Imprint: Birkhäuser, 1993.
Edition:1st ed. 1993.
Series:Progress in Mathematics, 112
Springer eBook Collection.
Subjects:
Algebra.
Associative rings.
Rings (Algebra).
Operator theory.
Group theory.
Topological groups.
Lie groups.
Mathematical physics.
Electronic resources (E-books)
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 1 Introduction
  • 2 The setting
  • 3 Relative untwisted vertex operators
  • 4 Quotient vertex operators
  • 5 A Jacobi identity for relative untwisted vertex operators
  • 6 Generalized vertex operator algebras and their modules
  • 7 Duality for generalized vertex operator algebras
  • 8 Monodromy representations of braid groups
  • 9 Generalized vertex algebras and duality
  • 10 Tensor products
  • 11 Intertwining operators
  • 12 Abelian intertwining algebras, third cohomology and duality
  • 13 Affine Lie algebras and vertex operator algebras
  • 14 Z-algebras and parafermion algebras
  • List of frequently-used symbols, in order of appearance.

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