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math.RA2023
Deformation cohomology of morphisms of Lie-Yamaguti algebras
Bibhash Mondal, Ripan Saha
We study cohomology of morphisms of Lie-Yamaguti algebras. As an application, we establish that this cohomology `controls' the formal deformations. Additionally, we demonstrate its…
math.RA2023
Nijenhuis operators on Leibniz algebras
Bibhash Mondal, Ripan Saha
In this paper, we study Nijenhuis operators on Leibniz algebras. We discuss the relationship of Nijenhuis operators with Rota-Baxter operators and modified Rota-Baxter operators on…
math.RA2023
On compatible Leibniz algebras
Abdenacer Makhlouf, Ripan Saha
In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra. W…