Drinfeld–Sokolov hierarchies on truncated current Lie algebras
Volume 94 / 2011
Banach Center Publications 94 (2011), 163-171
MSC: Primary 17B69, 37K10; Secondary 37K30.
DOI: 10.4064/bc94-0-9
Abstract
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.