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/