Generalized W-algebras and Integrable Hierarchies

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages

Scientific paper

10.1016/0370-2693(92)90962-4

We report on generalizations of the KdV-type integrable hierarchies of
Drinfel'd and Sokolov. These hierarchies lead to the existence of new classical
$W$-algebras, which arise as the second Hamiltonian structure of the
hierarchies. In particular, we present a construction of the $W_n^{(l)}$
algebras.

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