# A solution of the quantum Knizhnik Zamolodchikov equation of type $C\_n$

Source: [A solution of the quantum Knizhnik Zamolodchikov equation of type $C\_n$](<https://www.sota2.com/research/paper/68fa4e6d1e209131ce95bfe9>)

Collection index: [llms.txt](<https://www.sota2.com/research/llms.txt>)

Data updated: 2025-10-27T04:47:54.049Z

Authors: K. Mimachi

Published: 1997-12-12T07:46:34.000Z

## 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 applicaton, 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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## Original sources and implementation

[Original paper](<https://arxiv.org/abs/q-alg/9712035>)

[PDF](<https://arxiv.org/pdf/q-alg/9712035.pdf>)