scientific article; zbMATH DE number 816182
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Publication:4854362
zbMath0842.17039MaRDI QIDQ4854362
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Publication date: 7 January 1996
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Poisson-Lie groupsHamiltonian integrable systemslogarithmic cocycleuniversal \(W\)-algebraPoisson-Lie a geometry
KdV equations (Korteweg-de Vries equations) (35Q53) Infinite-dimensional Lie (super)algebras (17B65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)
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Complex parametrized \(W\)-algebras: The \({\mathfrak {gl}}\) case ⋮ Algebraic proofs for shallow water bi-Hamiltonian systems for three cocycle of the semi-direct product of Kac-Moody and Virasoro Lie algebras ⋮ Pseudodifferential symbols on Riemann surfaces and Krichever-Novikov algebras ⋮ On the Kadomtsev-Petviashvili hierarchy in an extended class of formal pseudo-differential operators ⋮ Hamiltonian Structures on Coadjoint Orbits of Semidirect Product G = Diff+(S 1) ? < C ?(S 1, ?)
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