Zusmanovich P. Invariants of Lie algebras generated by dynamical systems, talk at The Workshop on Integrable Nonlinear Equations, 18-24 October 2015, Mikulov, Czech Republic (abstract)

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Speaker: Pasha Zusmanovich

Title: Invariants of Lie algebras generated by dynamical systems

Abstract:
At the beginning of 1990s, Vershik introduced an interesting class of Lie algebras which he dubbed as "Lie algebras generated by dynamical systems". We will describe an approach for computations of central extensions, invariant symmetric bilinear forms, and other invariants of these algebras, useful for applications in integrability of dynamical systems. The approach is inspired by a similar approach to such questions for another class of algebras - Lie algebras represented as a tensor product of algebras over Koszul dual operads.