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On Nijenhuis Lie triple systems
Shuangjian Guo, Bibhash Mondal, Ripan Saha
In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our st…
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…
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…
On equivariant Lie-Yamaguti algebras and related structures
Shuangjian Guo, Bibhash Mondal, Ripan Saha
In this paper, we first discuss cohomology and a one-parameter formal deformation theory of Lie-Yamaguti algebras. Next, we study finite group actions on Lie-Yamaguti algebras and…