A solution of the quantum Knizhnik Zamolodchikov equation of type \(C_n\).

DOI10.1007/S002200050449zbMath1053.17011arXivq-alg/9712035OpenAlexW2031329594MaRDI QIDQ1290460

Katsuhisa Mimachi

Publication date: 30 June 1999

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

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.

Full work available at URL: https://arxiv.org/abs/q-alg/9712035

zbMATH Keywords

root systemKnizhnik-Zamolodchikov equationHecke algebraMacDonald polynomial

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) Moduli and deformations for ordinary differential equations (e.g., Knizhnik-Zamolodchikov equation) (32G34) Connections of basic hypergeometric functions with quantum groups, Chevalley groups, (p)-adic groups, Hecke algebras, and related topics (33D80)

This page was built for publication: A solution of the quantum Knizhnik Zamolodchikov equation of type \(C_n\).