arXiv · q-alg/9501027
Lie-Poisson groups and the Miura transformation
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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JM Figueroa-O'Farrill, S Stanciu. 1995-01-30. Lie-Poisson groups and the Miura transformation. https://doi.org/10.1142/s0217732395002908
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