Integrable Hamiltonian systems generated by antisymmetric matrices

21st International Conference on Integrable Systems and Quantum Symmetries

Dobrogowska, Alina^1

Institute of Mathematics, University of Bialystok, Akademicka 2, 15-267 Bialystok, Poland^1

关键词: Antisymmetric matrix;    Casimir functions;    Integrable Hamiltonian system;    Integrable systems;    Lie Algebra;    Lie brackets;    Skew-symmetric matrices;    Symmetric matrices;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/474/1/012015/pdf
DOI  :  10.1088/1742-6596/474/1/012015

来源: IOP

【 摘 要 】

We construct a family of integrable systems generated by the Casimir functions of Lie algebra of skew-symmetric matrices, where the Lie bracket is deformed by a symmetric matrix.