Generalized Drinfeld-Sokolov reductions and KdV type hierarchies

@article{Fehr1993GeneralizedDR,
  title={Generalized Drinfeld-Sokolov reductions and KdV type hierarchies},
  author={L. Feh{\'e}r and J. Harnad and I. Marshall},
  journal={Communications in Mathematical Physics},
  year={1993},
  volume={154},
  pages={181-214}
}
Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop algebra. Following earlier work of De Groot et al., reductions based upon graded regular elements of arbitrary Heisenberg subalgebras are considered. We show that, in the case of the nontwisted loop algebra ℓ(gln), graded regular elements exist only in those Heisenberg subalgebras which correspond either to the partitions ofn into… Expand
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