3 papers
math.RA2025
Frölicher-Nijenhuis bracket and derived bracket associated to a nonsymmetric operad with multiplication
Anusuiya Baishya, Apurba Das
This paper aims to construct two graded Lie algebras associated with a nonsymmetric operad with multiplication. Maurer-Cartan elements of these graded Lie algebras correspond respe…
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
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…