Kupershmidt-(dual-)Nijenhuis structures on a Lie algebra with a representation

DOI10.1063/1.5027371zbMath1398.17010arXiv2004.10065OpenAlexW3100437640WikidataQ115333085 ScholiaQ115333085MaRDI QIDQ4586480

Yuwang Hu, Jiefeng Liu, Yun He Sheng

Publication date: 13 September 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.10065

Mathematics Subject Classification ID

Quantum groups (quantized enveloping algebras) and related deformations (17B37) 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)

Related Items (8)

Conformal r-matrix-Nijenhuis structures, symplectic-Nijenhuis structures, and ON-structures ⋮ O-operators and related structures on Leibniz algebras ⋮ Cohomologies and relative Rota-Baxter-Nijenhuis structures of 3-LieRep pairs ⋮ Kupershmidt operators on Hom-Malcev algebras and their deformation ⋮ Cohomology and relative Rota-Baxter-Nijenhuis structures on \(\mathsf{LieYRep}\) pairs ⋮ Cohomologies of \textsf{PoiMod} pairs and compatible structures on Poisson algebras ⋮ Kupershmidt-(dual-)Nijenhuis structure on the alternative algebra with a representation ⋮ Pre-Lie analogues of Poisson-Nijenhuis structures and Maurer–Cartan equations

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