Drinfeld–Sokolov hierarchies on truncated current Lie algebras

Volume 94 / 2011

Paolo Casati 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.

Authors

  • Paolo CasatiDipartimento di matematica e applicazioni
    Università di Milano-Bicocca
    Via Cozzi 53
    I-20125 Milano, Italy
    e-mail

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