Representations of Quantum Affine Algebras

Details Representations of Quantum Affine Algebras Representations of Quantum Affine Algebras

1995-03-31

arxiv.org/abs/q-alg/9503022v1

Mathematics

Quantum Algebra

plain TeX, 61 pages

Scientific paper

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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