A solution of the quantum Knizhnik Zamolodchikov equation of type C n
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.