dorsal/arxiv
View SchemaKostka Polynomials and Energy Functions in Solvable Lattice Models
| Authors | Atsushi Nakayashiki, Yasuhiko Yamada |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512027 |
| URL | https://arxiv.org/abs/q-alg/9512027 |
Abstract
The relation between the charge of Lascoux-Schuzenberger and the energy function in solvable lattice models is clarified. As an application, A.N.Kirillov's conjecture on the expression of the branching coefficient of ${\widehat {sl_n}}/{sl_n}$ as a limit of Kostka polynomials is proved.
{
"annotation_id": "51c89158-7cb3-4fef-b526-b482f655d29a",
"date_created": "2026-03-02T18:01:27.552000Z",
"date_modified": "2026-03-02T18:01:27.552000Z",
"file_hash": "337b5f79f91233a6a79b43fb822326eca80e2503dfdc41312f4e448f4733f32c",
"private": false,
"record": {
"abstract": "The relation between the charge of Lascoux-Schuzenberger and the energy\nfunction in solvable lattice models is clarified. As an application,\nA.N.Kirillov\u0027s conjecture on the expression of the branching coefficient of\n${\\widehat {sl_n}}/{sl_n}$ as a limit of Kostka polynomials is proved.",
"arxiv_id": "q-alg/9512027",
"authors": [
"Atsushi Nakayashiki",
"Yasuhiko Yamada"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"title": "Kostka Polynomials and Energy Functions in Solvable Lattice Models",
"url": "https://arxiv.org/abs/q-alg/9512027"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "5c560d5e-8748-45cd-8ae0-258148d41a9a",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}