3 papers
math.RA2026
Symmetric Rota-Baxter systems and applications
Chan Zhao, Haiying Li, Tianshui Ma
Rota-Baxter operators and bialgebras are closely connected in several applications, such as the Connes-Kreimer renormalization framework and the operator approach to the classical…
math.RA2025
Classical Yang-Baxter equations and Nijenhuis operators for Lie algebras
Haiying Li, Tianshui Ma
In this paper the conditions that when a Lie algebra is Nijenhuis are investigated. Furthermore all the Nijenhuis operators on under the standard Cartan-Weyl basi…
math.RA2023
When Leibniz algebras are Nijenhuis?
Haiying Li, Tianshui Ma, Shuanhong Wang
Leibniz algebras can be seen as a ``non-commutative" analogue of Lie algebras. Nijenhuis operators on Leibniz algebras introduced by Cariñena, Grabowski, and Marmo in [J. Phys. A:…