A Lie algebraic generalization of the Mumford system, its symmetries and its multi-Hamiltonian structure
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Publication:1302456
DOI10.1070/rd1998v003n03ABEH000086zbMath0964.37033MaRDI QIDQ1302456
Publication date: 19 July 2001
Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)
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Related Items (13)
On separation of variables for homogeneous \(sl(r)\) Gaudin systems ⋮ Quasi-Poisson structures and integrable systems related to the moduli space of flat connections on a punctured Riemann sphere ⋮ Jacobian variety and integrable system -- after Mumford, Beauville and Vanhaecke ⋮ Highest-weight theory for truncated current Lie algebras ⋮ Algebraic integrable systems related to spectral curves with automorphisms ⋮ Intermediate Toda systems ⋮ The addition law attached to a stratification of a hyperelliptic Jacobian variety ⋮ Commuting matrix differential operators and loop algebras ⋮ Continuous and discrete Neumann systems on Stiefel varieties as matrix generalizations of the Jacobi-Mumford systems ⋮ Separation of variables, Lax-integrable systems and \(gl(2) \otimes gl(2)\)-valued classical \(r\)-matrices ⋮ Reduction of bi-Hamiltonian systems and separation of variables: An example from the Boussinesq hierarchy ⋮ New integrable hierarchies from vertex operator representations of polynomial Lie algebras ⋮ Bäcklund transformations for finite-dimensional integrable systems: a geometric approach.
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