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Integrable and Weyl modules for quantum affine sl_2

Vyjayanthi Chari·Andrew Pressley
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Abstract

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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Vyjayanthi Chari, Andrew Pressley. 2000-07-20. Integrable and Weyl modules for quantum affine sl_2. https://arxiv.org/abs/math/0007123

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