Representations of Quantum Affine Algebras

D. Kazhdan; Y. Soibelman

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Representations of Quantum Affine Algebras

D. Kazhdan·Y. Soibelman

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Abstract

In this paper we define a quantum version of the ``fusion'' tensor product of two representations of an affine Kac-Moody algebra.It is replaced by what we call fusion action of the category of finite-dimensional representations of quantum affine algebra on its highest weight representations. We construct a quantum version of the associativity constraint. We give categorical treatment of the subject and related questions ( like quantum Knizhnik-Zamolodchikov equations).

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D. Kazhdan, Y. Soibelman. 1995-03-31. Representations of Quantum Affine Algebras. https://arxiv.org/abs/q-alg/9503022

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