|XXXV Workshop on Geometric Methods in Physics||26.06-2.07.2016|
Participants of Workshop
Participants of School
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.
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