dorsal/arxiv
View SchemaLie-Poisson groups and the Miura transformation
| Authors | JM Figueroa-O'Farrill, S Stanciu |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9501027 |
| URL | https://arxiv.org/abs/q-alg/9501027 |
| DOI | 10.1142/S0217732395002908 |
Abstract
We point out that the recent proof of the Kupershmidt-Wilson theorem by Cheng and Mas-Ramos is underpinned by the Lie-Poisson property of the second Gel'fand-Dickey bracket. The supersymmetric Kupershmidt-Wilson theorem is also proved along these same lines. Finally we comment on the possible repercussions in the problem of the coproduct for W-algebras.
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"abstract": "We point out that the recent proof of the Kupershmidt-Wilson theorem by Cheng\nand Mas-Ramos is underpinned by the Lie-Poisson property of the second\nGel\u0027fand-Dickey bracket. The supersymmetric Kupershmidt-Wilson theorem is also\nproved along these same lines. Finally we comment on the possible repercussions\nin the problem of the coproduct for W-algebras.",
"arxiv_id": "q-alg/9501027",
"authors": [
"JM Figueroa-O\u0027Farrill",
"S Stanciu"
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"doi": "10.1142/S0217732395002908",
"title": "Lie-Poisson groups and the Miura transformation",
"url": "https://arxiv.org/abs/q-alg/9501027"
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