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A new aspect of representations of Uq( sl2) - root of unity case

Xufeng Liu

math.QAarXiv:math/9902069

Abstract

The structure of the tensor product representation vλ1(x) Vλ2(y) of Uq( sl2) is investigated at roots of unity. A polynomial identity is derived as an outcome. Also, new bases of vλ1(x) Vλ2(y) are established under certain conditions.

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