paper

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

arXiv:math/9902069

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.

11 pages, no figures