dorsal/arxiv
View SchemaBosonic representations of Yangian Double $\cD Y_{\hbar}(\gtg)$ with $\gtg=\gtgl_N,\gtsl_N$
| Authors | Kenji Iohara |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9603033 |
| URL | https://arxiv.org/abs/q-alg/9603033 |
Abstract
On the basis of `$RTT=TTR$' formalism, we introduce the quantum double of the Yangian $Y_{\hbar}(\gtg)$ for $\gtg=\gtgl_N,\gtsl_N$ with a central extension. The Gauss decomposition of T-matrices gives us the so-called Drinfel'd generators. Using these generators, we present some examples of both finite and infinite dimensional representations that are quite natural deformations of the corresponding affine counterpart.
{
"annotation_id": "8cb85b05-16cb-4f15-bdd8-4514a7a431fd",
"date_created": "2026-03-02T18:01:28.661000Z",
"date_modified": "2026-03-02T18:01:28.661000Z",
"file_hash": "569ec33a3d0da25bb5c220b5133b5d6cae3c5f41053c1fbfe8c0df17f4074581",
"private": false,
"record": {
"abstract": "On the basis of `$RTT=TTR$\u0027 formalism, we introduce the quantum double of the\nYangian $Y_{\\hbar}(\\gtg)$ for $\\gtg=\\gtgl_N,\\gtsl_N$ with a central extension.\nThe Gauss decomposition of T-matrices gives us the so-called Drinfel\u0027d\ngenerators. Using these generators, we present some examples of both finite and\ninfinite dimensional representations that are quite natural deformations of the\ncorresponding affine counterpart.",
"arxiv_id": "q-alg/9603033",
"authors": [
"Kenji Iohara"
],
"categories": [
"q-alg",
"math.QA"
],
"title": "Bosonic representations of Yangian Double $\\cD Y_{\\hbar}(\\gtg)$ with $\\gtg=\\gtgl_N,\\gtsl_N$",
"url": "https://arxiv.org/abs/q-alg/9603033"
},
"schema_id": "dorsal/arxiv",
"source": {
"execution_id": "89368628-8866-4754-ac35-1e9a381d8315",
"id": "arXiv Dataset IDs",
"type": "Model",
"variant": "snapshot-2026-03-01",
"version": "0.1.0"
},
"user_id": 1000002
}