Integrable and Weyl modules for quantum affine sl_2

Mathematics – Quantum Algebra

Scientific paper

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To appear in the Proceedings of the LMS symposium on Quantum Groups, Durham, England

Scientific paper

We study the universal integrable modules W_q(m) of level zero for quantum
affine sl_2 and a family of maximal finite--dimensional quotients of these
modules. We show that these all have dimension 2^m. Using this, we are able to
realize W_q(m) as the space of invariants of a reprsentation of the Hecke
algebra H_m. We also give a conjecture in the general case.

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