2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/78088The 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.11 pages, no figuresQuantum Algebratext