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A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators - MaRDI portal

A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators (Q1150197)

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scientific article; zbMATH DE number 3712869
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A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators
scientific article; zbMATH DE number 3712869

    Statements

    A family of Hamiltonian structures, hierarchy of Hamiltonians, and reduction for first-order matrix differential operators (English)
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    1980
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    Hamiltonian structures in a space of differential operators in a single variable
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    first-order matrix operators
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    coadjoint action
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    Poisson bracket
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    hierarchy of Hamiltonians
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    Lie group of smooth maps on the circle with values in a real semi-simple Lie group
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