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math.QA1999
A new aspect of representations of U_q(\hat{sl_2})--generic case
Xufeng Liu
An polynomial identity is derived from the representation V_m(x)\otimes V_n(y) of U_q(\hat {sl_2}) and a new basis of V_m(x)\otimes V_n(y) is established under some condition.
math.QA1999
A new aspect of representations of U_q(\hat sl_2) - root of unity case
Xufeng Liu
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.…