dorsal/arxiv
View SchemaCompatible Poisson-Lie structures on the loop group of $SL_{2}$
| Authors | B. Enriquez, V. N. Rubtsov |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9512011 |
| URL | https://arxiv.org/abs/q-alg/9512011 |
| DOI | 10.1007/BF01815525 |
Abstract
We define a 1-parameter family of $r$-matrices on the loop algebra of $sl_{2}$, defining compatible Poisson structures on the associated loop group, which degenerate into the rational and trigonometric structures, and study the Manin triples associated to them.
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"abstract": "We define a 1-parameter family of $r$-matrices on the loop algebra of\n$sl_{2}$, defining compatible Poisson structures on the associated loop group,\nwhich degenerate into the rational and trigonometric structures, and study the\nManin triples associated to them.",
"arxiv_id": "q-alg/9512011",
"authors": [
"B. Enriquez",
"V. N. Rubtsov"
],
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"doi": "10.1007/BF01815525",
"title": "Compatible Poisson-Lie structures on the loop group of $SL_{2}$",
"url": "https://arxiv.org/abs/q-alg/9512011"
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