Double Poisson vertex algebras and non-commutative Hamiltonian equations

DOI10.1016/j.aim.2015.05.011zbMath1327.17023arXiv1410.3325OpenAlexW1552617913MaRDI QIDQ2354386

Daniele Valeri, Victor G. Kac, Alberto De Sole

Publication date: 13 July 2015

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.3325

zbMATH Keywords

Poisson bracketsdouble Poisson algebrasde Rham complexesdouble Poisson vertex algebrasnon commutative Hamiltonian equations

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) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of Lie algebras and superalgebras to integrable systems (17B80)

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