Completeness of the Hypergeometric Solutions of the qKZ Equation at Level Zero

1998/11/08 by Vitaly Tarasov, Tarasov, Vitaly
Mathematics · #FOS: Mathematics #Quantum Algebra (math.QA) #math.QA

paper · pdf · doi:10.48550/arxiv.math/9811048

14 pages, amstex.tex (ver. 2.1) and amssym.tex are required

arxiv created 1998/11/08 · arxiv updated 2009/11/30

Abstract

We discuss the hypergeometric solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero and show that they give all solutions of the qKZ equation. We completely describe linear relations between the hypergeometric solutions and give an interpretation of the relations in terms of the quantum group U_q(sl₂) at q=e^πi/2.

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