Relative Rota--Baxter operators of arbitrary weight on Leibniz algebras and post-Leibniz algebra structures
Copyright policy )Relative Rota--Baxter operators of arbitrary weight on Leibniz algebras and post-Leibniz algebra structures
The author defines cohomology of relative Rota-Baxter operators of arbitrary weight on Leibniz algebras and studies their deformations. This is done by generalizing the operators of weight 0 developed by \textit{R. Tang} et al. [Int. J. Geom. Methods Mod. Phys. 17, No. 12, Article ID 2050174, 21 p. (2020; Zbl 1550.17003)]. The post-Leibniz algebras behind these operators are studied.
Leibniz algebra, Rota-Baxter operator of arbitrary weight, deformation, cohomology, post-Leibniz algebra, Cohomology of Lie (super)algebras, Yang-Baxter equations and Rota-Baxter operators, Leibniz algebras
Leibniz algebra, Rota-Baxter operator of arbitrary weight, deformation, cohomology, post-Leibniz algebra, Cohomology of Lie (super)algebras, Yang-Baxter equations and Rota-Baxter operators, Leibniz algebras
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