KdV type systems and W-algebras in the Drinfeld-Sokolov approach

Abstract

The generalized Drinfeld-Sokolov construction of KdV systems is reviewed in the case of an arbitrary affine Lie algebra paying particular attention to Hamiltonian aspects and $\W$-algebras. Some extensions of known results as well as a new interpretation of the construction are also presented.

LaTex, 16 pages, talk given at the Marseille 95 conference on W-symmetry. An error in remark c was corrected

References in corpus (1)

• W-Algebras from Soliton Equations and Heisenberg Subalgebras

Cited by in corpus (3)

• Integrable KdV Hierarchies on T^2=S^1\times S^1
• Soliton equations related to the affine Kac-Moody algebra D^(1)_4
• Cyclic elements in semisimple Lie algebras