Deformation of the Poisson structure related to algebroid bracket of differential forms and application to real low dimentional Lie algebras

zbMath1465.17021MaRDI QIDQ2418906

Alina Dobrogowska, Karolina Wojciechowicz, Grzegorz Jakimowicz, Marzena Szajewska

Publication date: 29 May 2019

Full work available at URL: https://projecteuclid.org/euclid.pgiq/1545361490

zbMATH Keywords

Lie-Poisson bracketbi-Hamiltonian structureLie algebroiddeformation of Poisson structure Lie algebra

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Poisson manifolds; Poisson groupoids and algebroids (53D17) Poisson algebras (17B63)

Related Items (4)

Eigenvalue problem versus Casimir functions for Lie algebras ⋮ A new look at Lie algebras ⋮ On some deformations of the Poisson structure associated with the algebroid bracket of differential forms ⋮ Generalization of the concept of classical \(r\)-matrix to Lie algebroids

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