The variational Poisson cohomology

DOI10.1007/s11537-013-1124-3zbMath1290.17027arXiv1106.0082OpenAlexW2045812840MaRDI QIDQ351723

Victor G. Kac, Alberto De Sole

Publication date: 9 July 2013

Published in: Japanese Journal of Mathematics. 3rd Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.0082

zbMATH Keywords

Poisson vertex algebrabasic and variational Poisson cohomologybi-Hamiltonian PDEgeneralized variational complexLie conformal algebralinearly closed differential fielduniversal Lie superalgebra and Lie conformal superalgebravariational polyvector field

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Vertex operators; vertex operator algebras and related structures (17B69) Applications of Lie algebras and superalgebras to integrable systems (17B80) Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures (37K30) Cohomology of Lie (super)algebras (17B56)

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