Integrable Systems and W-Algebras

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, LaTeX, Proceedings of the VIIIth J. A. Swieca Summer School (Rio de Janeiro, Brazil, February 1995)

Scientific paper

The basic concepts underlying our analysis of {\it W-algebras} as extended
symmetries of integrable systems are summarized. The construction starts from
the second hamiltonian structure of ``Generalized Drinfel'd-Sokolov''
hierarchies, and its correspondence with the $A_1$-embeddings is established,
providing a rather simple and general scheme.

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