There is devised a general differential-algebraic approach to constructing multi-component Hamiltonian operators as classical Lie–Poisson structures on the suitably constructed adjacent loop Lie co-algebras. The related Novikov–Leibniz type algebraic structures are derived, a new nonassociative right Leibniz and Riemann algebra is constructed, deeply related with infinite multi-component Riemann type integrable hydrodynamic hierarchies.
CITATION STYLE
Prykarpatski, A. K. (2018). Hamilton operators and related integrable differential algebraic Novikov–Leibniz type structures. In Trends in Mathematics (pp. 93–100). Springer International Publishing. https://doi.org/10.1007/978-3-319-63594-1_10
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