6 citations · 22 across the 17 of their papers we have counts for
4 papers · 1 filter
Weighted relative Rota-Baxter operators on Leibniz algebras and Post-Leibniz algebra structures
Apurba Das
Leibniz algebras are non-skewsymmetric analogue of Lie algebras. In this paper, we consider weighted relative Rota-Baxter operators on Leibniz algebras. We define cohomology of suc…
Cohomology of morphism Lie algebras and some applications
Apurba Das
A morphism Lie algebra is a triple consisting of two Lie algebras and a Lie algebra homomorphism $ϕ: \mathfrak{g} \ri…
Cohomology of weighted Rota-Baxter Lie algebras and Rota-Baxter paired operators
Apurba Das
In this paper, we define representations and cohomology of weighted Rota-Baxter Lie algebras. As applications of cohomology, we study abelian extensions and formal -parameter de…
On -operators on modules over Lie algebras
Apurba Das
The notion of -operators on modules over Lie algebras generalize Rota-Baxter operators. They also generalize Poisson structures on Lie algebras in the presence of modu…