Frobenius manifolds and central invariants for the Drinfeld�Sokolov bihamiltonian structures

• Autores: Boris Dubrovin, Si-Qui Liu, Youjin Zhang
• Localización: Advances in mathematics, ISSN 0001-8708, Vol. 219, Nº 3, 2008, págs. 780-837
• Idioma: inglés
• DOI: 10.1016/j.aim.2008.06.009
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• Resumen

  • The Drinfeld�Sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete sets of invariants of the related bihamiltonian structures with respect to the group of Miura-type transformations.