dorsal/arxiv
View SchemaPoisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)
| Authors | J. Avan, L. Frappat, M. Rossi, P. Sorba |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9705012 |
| URL | https://arxiv.org/abs/q-alg/9705012 |
| DOI | 10.1016/S0375-9601(97)00637-3 |
| Journal | Phys.Lett. A235 (1997) 323 |
Abstract
It is shown that the elliptic algebra A_{p,q}(sl(2)_c) has a non trivial center at the critical level $c=-2$, generalizing the result of Reshetikhin and Semenov-Tian-Shansky for trigonometric algebras. A family of Poisson structures indexed by a non-negative integer $k$ is constructed on this center.
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"abstract": "It is shown that the elliptic algebra A_{p,q}(sl(2)_c) has a non trivial\ncenter at the critical level $c=-2$, generalizing the result of Reshetikhin and\nSemenov-Tian-Shansky for trigonometric algebras. A family of Poisson structures\nindexed by a non-negative integer $k$ is constructed on this center.",
"arxiv_id": "q-alg/9705012",
"authors": [
"J. Avan",
"L. Frappat",
"M. Rossi",
"P. Sorba"
],
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"doi": "10.1016/S0375-9601(97)00637-3",
"journal_ref": "Phys.Lett. A235 (1997) 323",
"title": "Poisson structures on the center of the elliptic algebra A_{p,q}(sl(2)_c)",
"url": "https://arxiv.org/abs/q-alg/9705012"
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