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Quantum Kac– Algebras and Vertex Representations

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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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Authors and Affiliations

  1. Department of Mathematics, North Carolina State University, Raleigh, NC, 27695-8205, U.S.A

    Haihuan Jing

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  1. Haihuan Jing
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Jing, H. Quantum Kac– Algebras and Vertex Representations. Letters in Mathematical Physics 44, 261–271 (1998). https://doi.org/10.1023/A:1007493921464

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