XXXV Workshop on Geometric Methods in Physics 26.06-2.07.2016

Anatolij Prykarpatski


HAMILTON OPERATORS AND RELATED INTEGRABLE DIFFERENTIAL-ALGEBRAIC NOVIKOV-LEIBNIZ STRUCTURES


There is devised a general di¤erential-algebraic approach to constructing
multi-component Hamiltonian operators as di¤erentiations on suitably constructed loop Lie algebras. The related Novikov-Leibniz type algebraic structures are presented, a new nonassociative "Riemann" algebra is constructed, deeply related with in…nite multi-component Riemann type integrable hierarchies. A close relationship to the standard symplectic analysis techniques is also discussed.







Event sponsored by:
National Science Foundation          Belgian Science Policy Office          University of Bialystok


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