On integrability of transverse Lie-Poisson structures at nilpotent elements

DOI10.1016/j.geomphys.2020.103690zbMath1473.37071arXiv1905.01829OpenAlexW2944081843MaRDI QIDQ778975

Yassir Ibrahim Dinar

Publication date: 21 July 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.01829

zbMATH Keywords

completely integrable systemSlodowy sliceargument shift methodnilpotent elements of semisimple typetransverse Poisson structure

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Applications of Lie algebras and superalgebras to integrable systems (17B80) Coadjoint orbits; nilpotent varieties (17B08) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Related Items (max. 100)

Low-dimensional bihamiltonian structures of topological type ⋮ Algebraic classical \(W\)-algebras and Frobenius manifolds

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