A solution of the quantum Knizhnik Zamolodchikov equation of type Cn
Abstract
We construct a solution of Cherednik's quantum Knizhnik Zamolodchikov equation associated with the root system of type Cn. 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 Cn type. Finally we explain the connection with the representation of the Hecke algebra.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.