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

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

1998-11-08

arxiv.org/abs/math/9811048v1

Mathematics

Quantum Algebra

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

Scientific paper

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 $U_q(sl_2)$ at $q=e^{\pi i/2}$.

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