In this paper we construct on truncated current Lie algebras integrable hierarchies of partial differential equations, which generalize the Drinfeld-Sokolov hierarchies defined on Kac-Moody Lie algebras.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-9,
author = {Paolo Casati},
title = {Drinfeld-Sokolov hierarchies on truncated current Lie algebras},
journal = {Banach Center Publications},
volume = {95},
year = {2011},
pages = {163-171},
zbl = {1248.37063},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-9}
}
Paolo Casati. Drinfeld-Sokolov hierarchies on truncated current Lie algebras. Banach Center Publications, Tome 95 (2011) pp. 163-171. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc94-0-9/