Twisted Vertex Operators and A-D-E Representations

Minoru Wakimoto

Twisted Vertex Operators and A-D-E Representations

Representation Theory 2007-05-23 v2

Authors: Minoru Wakimoto

Abstract

In this paper, we study the algebra of twisted vertex operators over an even integral ${\mathbf Z}_2$ -lattice, and give a kind of systematic construction of fundamental representations for affine Lie algebras of type $A$ , $D$ , $E$ with their irreducible decompositions.

Keywords

vertex operator algebras twisted k-theory lie algebra

Cite

@article{arxiv.math/0111018,
  title  = {Twisted Vertex Operators and A-D-E Representations},
  author = {Minoru Wakimoto},
  journal= {arXiv preprint arXiv:math/0111018},
  year   = {2007}
}

Comments

29 pages, AMS-Latex

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