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A new aspect of representations of U_q(\hat sl_2) - root of unity case

Xufeng Liu
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Abstract

The structure of the tensor product representation v_{λ_1}(x)\otimes V_{λ_2}(y) of U_q(\hat sl_2) is investigated at roots of unity. A polynomial identity is derived as an outcome. Also, new bases of v_{λ_1}(x)\otimes V_{λ_2}(y) are established under certain conditions.

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Xufeng Liu. 1999-02-11. A new aspect of representations of U_q(\hat sl_2) - root of unity case. https://arxiv.org/abs/math/9902069

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