dorsal/arxiv
View SchemaElliptic quantum groups and Ruijsenaars models
| Authors | Giovanni Felder, Alexander Varchenko |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9704005 |
| URL | https://arxiv.org/abs/q-alg/9704005 |
| DOI | 10.1007/BF02764216 |
Abstract
We construct symmetric and exterior powers of the vector representation of the elliptic quantum groups $E_{\tau,\eta}(gl_N)$. The corresponding transfer matrices give rise to various integrable difference equations which could be solved in principle by the nested Bethe ansatz method. In special cases we recover the Ruijsenaars systems of commuting difference operators.
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"abstract": "We construct symmetric and exterior powers of the vector representation of\nthe elliptic quantum groups $E_{\\tau,\\eta}(gl_N)$. The corresponding transfer\nmatrices give rise to various integrable difference equations which could be\nsolved in principle by the nested Bethe ansatz method. In special cases we\nrecover the Ruijsenaars systems of commuting difference operators.",
"arxiv_id": "q-alg/9704005",
"authors": [
"Giovanni Felder",
"Alexander Varchenko"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1007/BF02764216",
"title": "Elliptic quantum groups and Ruijsenaars models",
"url": "https://arxiv.org/abs/q-alg/9704005"
},
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