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Quantum Kac-Moody Algebras and Vertex Representations

Naihuan Jing
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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.

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BibTeXRIS

Naihuan Jing. 1998-03-04. Quantum Kac-Moody Algebras and Vertex Representations. https://arxiv.org/abs/math/9802036

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