dorsal/arxiv
View SchemaFinite-dimensional Representations of Quantum Affine Algebras
| Authors | Tatsuya Akasaka, Masaki Kashiwara |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9703028 |
| URL | https://arxiv.org/abs/q-alg/9703028 |
| Journal | RIMS, Kyoto Univ., 33 (1997) 839-867 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
We present a conjecture on the irreducibility of the tensor products of fundamental representations of quantized affine algebras. This conjecture implies in particular that the irreducibility of the tensor products of fundamental representations is completely described by the poles of the R-matrices. The conjecture is proved in certain cases.
{
"annotation_id": "7950fba2-90de-4761-ac89-c5bd00e66b02",
"date_created": "2026-03-02T18:01:28.515000Z",
"date_modified": "2026-03-02T18:01:28.515000Z",
"file_hash": "7070735fc326c8dd3819a357e7b824aa3f6ee6d07cbee347830adeb960864e07",
"private": false,
"record": {
"abstract": "We present a conjecture on the irreducibility of the tensor products of\nfundamental representations of quantized affine algebras. This conjecture\nimplies in particular that the irreducibility of the tensor products of\nfundamental representations is completely described by the poles of the\nR-matrices. The conjecture is proved in certain cases.",
"arxiv_id": "q-alg/9703028",
"authors": [
"Tatsuya Akasaka",
"Masaki Kashiwara"
],
"categories": [
"q-alg",
"math.QA"
],
"journal_ref": "RIMS, Kyoto Univ., 33 (1997) 839-867",
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Finite-dimensional Representations of Quantum Affine Algebras",
"url": "https://arxiv.org/abs/q-alg/9703028"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "ad3660d1-ceeb-4ae2-8304-2c4bfbc7204e",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}