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

1999/02/11 by Xufeng Liu, Liu, Xufeng
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9902069

11 pages, no figures

arxiv created 1999/02/11 · arxiv updated 2009/11/30

Abstract

The structure of the tensor product representation v_λ1(x)⊗ V_λ2(y) of U_q( sl₂) is investigated at roots of unity. A polynomial identity is derived as an outcome. Also, new bases of v_λ1(x)⊗ V_λ2(y) are established under certain conditions.

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