Quantum Kac-Moody Algebras and Vertex Representations
Quantum Algebra
2007-05-23 v2
Abstract
We introduce an affinization of the quantum Kac-Moody algebra associated to a symmetric generalized Cartan matrix. Based on the affinization, we construct a representation of the quantum Kac-Moody algebra by vertex operators from bosonic fields. We also obtain a combinatorial indentity about Hall-Littlewood polynomials.
Cite
@article{arxiv.math/9802036,
title = {Quantum Kac-Moody Algebras and Vertex Representations},
author = {Naihuan Jing},
journal= {arXiv preprint arXiv:math/9802036},
year = {2007}
}
Comments
12 pages Latex2e, corrected some typos, to appear in Lett. Math. Phys. Sub-ject: Quantum Algebra