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math.RA2024
Deformation cohomology of Nijenhuis algebras and applications to extensions, inducibility of automorphisms and homotopy algebras
Apurba Das
Our primary aim in this paper is to introduce and study the cohomology of a Nijenhuis operator and of a Nijenhuis algebra. Our cohomology of a Nijenhuis algebra controls the simult…
math.RA2024
Cup product, Frölicher-Nijenhuis bracket and the derived bracket associated to Hom-Lie algebras
Anusuiya Baishya, Apurba Das
In this paper, we introduce some new graded Lie algebras associated with a Hom-Lie algebra. At first, we define the cup product bracket and its application to the deformation theor…
math.RA2024★ 1 cited
Nijenhuis deformations of Poisson algebras and -manifold algebras
Anusuiya Baishya, Apurba Das
The notion of pre-Poisson algebras was introduced by Aguiar in his study of zinbiel algebras and pre-Lie algebras. In this paper, we first introduce NS-Poisson algebras as a genera…