Invariant Poisson–Nijenhuis structures on Lie groups and classification

DOI10.1142/S0219887818500597zbMath1400.37064arXiv1708.00209WikidataQ115245346 ScholiaQ115245346MaRDI QIDQ4609888

A. Rezaei-Aghdam, Zohreh Ravanpak, Ghorbanali Haghighatdoost

Publication date: 26 March 2018

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.00209

zbMATH Keywords

Lie groupintegrable systemLie bialgebraPoisson-Nijenhuis 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) Lie bialgebras; Lie coalgebras (17B62) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Yang-Baxter equations (16T25)

Related Items (9)

Conformal r-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and ON-structures ⋮ O-operators and related structures on Leibniz algebras ⋮ Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation ⋮ The 𝓞N-structure on bimodules over associative conformal algebras ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ Compatible \(\mathcal{O}\)-operators on bimodules over associative algebras ⋮ Some remarks on invariant Poisson quasi-Nijenhuis structures on Lie groups ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮ Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation

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