Abstract
Thesℓ2 quantized Knizhnik-Zamolodchikov equations are solved inq-hypergeometric functions. New difference equations are derived for generalq-hypergeometric functions. The equations are given in terms of quantum Yang-Baxter matrices and have the form similar to quantum Knizhnik-Zamolodchikov equations for quantum affine algebras introduced by Frenkel and Reshetikhin.
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Communicated by G. Felder
This work was supported by NSF grant DMS-9203929.
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Varchenko, A. Quantized Knizhnik-Zamolodchikov equations, quantum Yang-Baxter equation, and difference equations forq-hypergeometric functions. Commun.Math. Phys. 162, 499–528 (1994). https://doi.org/10.1007/BF02101745
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DOI: https://doi.org/10.1007/BF02101745