2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/149257The 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 correctedHigh Energy Physics - TheoryQuantum AlgebraExactly Solvable and Integrable Systemstext