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

Mathematics – Quantum Algebra

Scientific paper

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11 pages, no figures

Scientific paper

The structure of the tensor product representation v_{\lambda_1}(x)\otimes
V_{\lambda_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_{\lambda_1}(x)\otimes V_{\lambda_2}(y) are established under certain
conditions.

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