English

A unified view of some vertex operator constructions

Quantum Algebra 2007-05-23 v1 Representation Theory

Abstract

We present a general vertex operator construction based on the Fock space for an affine Lie algebras of type AA. This construction allows us to give a unified treatment for both the homogeneous and principle realizations of the affine Lie algebras gl^N\hat{gl}_N as well as for some extended affine Lie algebras coordinatized by certain quantum tori.

Keywords

Cite

@article{arxiv.math/0103005,
  title  = {A unified view of some vertex operator constructions},
  author = {Stephen Berman and Yun Gao and Shaobin Tan},
  journal= {arXiv preprint arXiv:math/0103005},
  year   = {2007}
}
R2 v1 2026-07-22T16:37:33.392Z