Generalization of the concept of classical r-matrix to Lie algebroids

Author:

Dobrogowska AlinaORCID,Jakimowicz Grzegorz

Funder

National Research Centre

Publisher

Elsevier BV

Subject

Geometry and Topology,General Physics and Astronomy,Mathematical Physics

Reference36 articles.

1. Algebraic Integrability, Panléve Geometry and Lie Algebras;Adler,2004

2. Solutions of the classical Yang–Baxter equation for simple Lie algebras;Belavin;Funct. Anal. Appl.,1982

3. Classical R-matrix theory for bi-Hamiltonian field systems;Błaszak;J. Phys. A,2009

4. Compatible Poisson brackets on Lie algebras;Bolsinov;Mat. Zametki,2002

5. Geometric Models for Noncommutative Algebras;Cannas da Silva,1999

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Eigenvalue problem versus Casimir functions for Lie algebras;Analysis and Mathematical Physics;2024-03-25

2. A new look at Lie algebras;Journal of Geometry and Physics;2023-10

3. On Some Structures of Lie Algebroids on the Cotangent Bundles;Trends in Mathematics;2023

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