3 papers
math.RA2025
Cohomology theory of Nijenhuis Lie algebras and (generic) Nijenhuis Lie bialgebras
Apurba Das
The aim of this paper is twofold. In the first part, we define the cohomology of a Nijenhuis Lie algebra with coefficients in a suitable representation. Our cohomology of a Nijenhu…
math.RA2025
Non-abelian cohomology of Nijenhuis Lie algebras and the inducibility of automorphisms and derivations
Apurba Das
In this paper, we first introduce the non-abelian cohomology group of a Nijenhuis Lie algebra with values in another Nijenhuis Lie algebra and show that it parametrizes the isomorp…
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…