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Calculus of principally twisted vertex operators

About this Title

Leila Figueiredo

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 69, Number 371
ISBNs: 978-0-8218-2434-4 (print); 978-1-4704-0787-2 (online)
DOI: https://doi.org/10.1090/memo/0371
MathSciNet review: 903214
MSC: Primary 17B67

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Assumptions
  • 3. Preliminaries
  • 4. The main identity
  • 5. The brackets of the vertex operators
  • 6. The Lie algebras $\hat {\mathfrak {g}}(\nu )$ and $\tilde {\mathfrak {g}}(\nu )$
  • 7. The $\tilde {\mathfrak {g}}(\nu )$-modules with 1-dimensional vacuum space
  • 8. Coxeter and twisted Coxeter automorphisms
  • 9. The affine Lie algebras of type $A^{(K)}$, $D^{(K)}$ and $E^{(K)}$ and their basic representations