Titlebook: Geometric Methods in Physics XXXV; Workshop and Summer Piotr Kielanowski,Anatol Odzijewicz,Emma Previato Conference proceedings 2018 Sprin

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Nambu Mechanics: Symmetries and Conserved Quantitieshis differs sharply from what is the case in Hamiltonian mechanics, where conserved quantities are . on (extended) phase space, which are constant on trajectories. The origin of the difference may be traced back to a shift in degrees of relevant form present in . for Nambu mechanics.

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Hamilton Operators and Related Integrable Differential Algebraic Novikov–Leibniz Type Structuresn 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.

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https://doi.org/10.1007/978-3-319-63594-1mathematical physics; integrable systems; quantization; Lie groupoids and algebroids; integral operators

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2297-0215 he Bia?owie?a Workshop is followed by a School on Geometry and Physics, for advanced graduate students and early-career? researchers, and the book also includes extended abstracts of the lecture series..978-3-319-87589-7978-3-319-63594-1Series ISSN 2297-0215 Series E-ISSN 2297-024X

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