6 citations · 25 across the 22 of their papers we have counts for
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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…
(Co)homology of compatible associative algebras
Taoufik Chtioui, Apurba Das, Sami Mabrouk
In this paper, we define and study (co)homology theories of a compatible associative algebra . At first, we construct a new graded Lie algebra whose Maurer-Cartan elements are g…
Twisted relative Rota-Baxter operators on Leibniz algebras and NS-Leibniz algebras
Apurba Das, Shuangjian Guo
In this paper, we introduce twisted relative Rota-Baxter operators on a Leibniz algebra as a generalization of twisted Poisson structures. We define the cohomology of a twisted rel…
Noncommutative Differential Calculus Structure on Secondary Hochschild (co)homology
Apurba Das, Satyendra Kumar Mishra, Anita Naolekar
Let be a commutative algebra and be a -algebra (determined by an algebra homomorphism ). M. D. Staic introduced a Hochschild like cohomology…
Relative Rota-Baxter systems on Leibniz algebras
Apurba Das, Shuangjian Guo
In this paper, we introduce relative Rota-Baxter systems on Leibniz algebras and give some characterizations and new constructions. Then we construct a graded Lie algebra whose Mau…