Abstract:
We construct a solution of Cherednik's quantum Knizhnik Zamolodchikov equation associated with the root system of type C n . This solution is given in terms of a restriction of a q-Jordan–Pochhammer integral. As its application, we give an explicit expression of a special case of the Macdonald polynomial of the C n type. Finally we explain the connection with the representation of the Hecke algebra.
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Received: 23 January 1998 / Accepted: 14 March 1998
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Mimachi, K. A Solution of the Quantum Knizhnik Zamolodchikov Equation of Type C n . Comm Math Phys 197, 229–246 (1998). https://doi.org/10.1007/s002200050449
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DOI: https://doi.org/10.1007/s002200050449