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

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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

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