Lie-Poisson groups and the Miura transformation
q-alg
2009-10-28 v2 High Energy Physics - Theory
Quantum Algebra
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.
Keywords
Cite
@article{arxiv.q-alg/9501027,
title = {Lie-Poisson groups and the Miura transformation},
author = {JM Figueroa-O'Farrill and S Stanciu},
journal= {arXiv preprint arXiv:q-alg/9501027},
year = {2009}
}
Comments
.dvi file, uses AMSFonts 2.1+, 10 pages (5 physical pages in landscape mode), no figures