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arxiv: 0710.3115 · v1 · submitted 2007-10-16 · 🧮 math.DG · math-ph· math.MP

Frobenius Manifolds and Central Invariants for the Drinfeld - Sokolov Bihamiltonian Structures

classification 🧮 math.DG math-phmath.MP
keywords bihamiltoniandrinfeldinvariantssokolovstructuresaffinealgebraassociates
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The Drinfeld - Sokolov construction associates a hierarchy of bihamiltonian integrable systems with every untwisted affine Lie algebra. We compute the complete set of invariants of the related bihamiltonian structures with respect to the group of Miura type transformations.

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