dorsal/arxiv
View SchemaA solution of the quantum Knizhnik Zamolodchikov equation of type $C_n$
| Authors | K. Mimachi |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712035 |
| URL | https://arxiv.org/abs/q-alg/9712035 |
| DOI | 10.1007/s002200050449 |
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.
{
"annotation_id": "c68fc221-b944-461e-8a35-065e7525c4ea",
"date_created": "2026-03-02T18:01:28.848000Z",
"date_modified": "2026-03-02T18:01:28.848000Z",
"file_hash": "0ccb0508675bfcbc3ed6d77e9d84ad43aed8356072fa114b0f2d607376b91bf5",
"private": false,
"record": {
"abstract": "We construct a solution of Cherednik\u0027s quantum Knizhnik Zamolodchikov\nequation associated with the root system of type $C_n$. This solution is given\nin terms of a restriction of a $q$-Jordan-Pochhammer integral. As its\napplicaton, we give an explicit expression of a special case of the Macdonald\npolynomial of the $C_n$ type. Finally we explain the connection with the\nrepresentation of the Hecke algebra.",
"arxiv_id": "q-alg/9712035",
"authors": [
"K. Mimachi"
],
"categories": [
"q-alg",
"math.QA"
],
"doi": "10.1007/s002200050449",
"title": "A solution of the quantum Knizhnik Zamolodchikov equation of type $C_n$",
"url": "https://arxiv.org/abs/q-alg/9712035"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "e6d57152-5f4f-4113-a556-4578aff1c6ca",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}