Quantum Kac-Moody Algebras and Vertex Representations
arXiv:math/9802036
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.
12 pages Latex2e, corrected some typos, to appear in Lett. Math. Phys. Sub-ject: Quantum Algebra