The variational Poisson cohomology

  title={The variational Poisson cohomology},
  author={A. De Sole and V. Kac},
  journal={Japanese Journal of Mathematics},
  • A. De Sole, V. Kac
  • Published 2013
  • Physics, Mathematics
  • Japanese Journal of Mathematics
  • It is well known that the validity of the so called Lenard–Magri scheme of integrability of a bi-Hamiltonian PDE can be established if one has some precise information on the corresponding 1st variational Poisson cohomology for one of the two Hamiltonian operators. In the first part of the paper we explain how to introduce various cohomology complexes, including Lie superalgebra and Poisson cohomology complexes, and basic and reduced Lie conformal algebra and Poisson vertex algebra cohomology… CONTINUE READING
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