Lie-Poisson groups and the Miura transformation

Details Lie-Poisson groups and the Miura transformation Lie-Poisson groups and the Miura transformation

1995-01-25

arxiv.org/abs/q-alg/9501027v2

Physics

High Energy Physics

High Energy Physics - Theory

.dvi file, uses AMSFonts 2.1+, 10 pages (5 physical pages in landscape mode), no figures

Scientific paper

10.1142/S0217732395002908

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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