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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.
Paolo Casati. "Drinfeld-Sokolov hierarchies on truncated current Lie algebras." Banach Center Publications 94.1 (2011): 163-171. <http://eudml.org/doc/282294>.
@article{PaoloCasati2011, 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.}, author = {Paolo Casati}, journal = {Banach Center Publications}, keywords = {integrable hierarchy; Drinfeld-Sokolov reduction; Kac-Moody algebra; Lax pair}, language = {eng}, number = {1}, pages = {163-171}, title = {Drinfeld-Sokolov hierarchies on truncated current Lie algebras}, url = {http://eudml.org/doc/282294}, volume = {94}, year = {2011}, }
TY - JOUR AU - Paolo Casati TI - Drinfeld-Sokolov hierarchies on truncated current Lie algebras JO - Banach Center Publications PY - 2011 VL - 94 IS - 1 SP - 163 EP - 171 AB - 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. LA - eng KW - integrable hierarchy; Drinfeld-Sokolov reduction; Kac-Moody algebra; Lax pair UR - http://eudml.org/doc/282294 ER -