15 citations · 48 across the 19 of their papers we have counts for
21 papers
On Nijenhuis Lie triple systems
Shuangjian Guo, Bibhash Mondal, Ripan Saha
In this paper, we investigate the mathematical structure of Nijenhuis Lie triple systems, an extension of classical Lie triple systems augmented with the Nijenhuis operator. Our st…
Deformation cohomology of morphisms of Lie-Yamaguti algebras
Bibhash Mondal, Ripan Saha
We study cohomology of morphisms of Lie-Yamaguti algebras. As an application, we establish that this cohomology `controls' the formal deformations. Additionally, we demonstrate its…
Nijenhuis operators on Leibniz algebras
Bibhash Mondal, Ripan Saha
In this paper, we study Nijenhuis operators on Leibniz algebras. We discuss the relationship of Nijenhuis operators with Rota-Baxter operators and modified Rota-Baxter operators on…
On compatible Leibniz algebras
Abdenacer Makhlouf, Ripan Saha
In this paper, we study compatible Leibniz algebras. We characterize compatible Leibniz algebras in terms of Maurer-Cartan elements of a suitable differential graded Lie algebra. W…
Cohomology of modified Rota-Baxter Leibniz algebra of weight
Bibhash Mondal, Ripan Saha
Rota-Baxter operators have been paid much attention in the last few decades as they have many applications in mathematics and physics. In this paper, our object of study is modifie…
On deformation cohomology of compatible Hom-associative algebras
Taoufik Chtioui, Ripan Saha
In this paper, we consider compatible Hom-associative algebras as a twisted version of compatible associative algebras. Compatible Hom-associative algebras are characterized as Mau…
A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model
Abdul Halim, Abdur Rohim, B. V. Rathish Kumar +1
In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to…
Cohomology, deformations and extensions of Rota-Baxter Leibniz algebras
Bibhash Mondal, Ripan Saha
A Rota-Baxter Leibniz algebra is a Leibniz algebra equipped with a Rota-Baxter operator . We define…
On equivariant Lie-Yamaguti algebras and related structures
Shuangjian Guo, Bibhash Mondal, Ripan Saha
In this paper, we first discuss cohomology and a one-parameter formal deformation theory of Lie-Yamaguti algebras. Next, we study finite group actions on Lie-Yamaguti algebras and…
On 3-Lie algebras with a derivation
Shuangjian Guo, Ripan Saha
In this paper, we study 3-Lie algebras with derivations. We call the pair consisting of a 3-Lie algebra and a distinguished derivation by the 3-LieDer pair. We define a cohomology…
Rota-Baxter operators and related structures on anti-flexible algebras
Shuangjian Guo, Ripan Saha
In this paper, we first construct a graded Lie algebra which characterizes Rota-Baxter operators on an anti-flexible algebra as Maurer-Cartan elements. Next, we study infinitesimal…
On -type (equivariant) cohomology of Hom-pre-Lie algebras
Shuangjian Guo, Ripan Saha
In this paper, we define a new cohomology theory for multiplicative Hom-pre-Lie algebras which controls deformations of Hom-pre-Lie algebra structure. This new cohomology is a natu…
Involutive and oriented dendriform algebras
Apurba Das, Ripan Saha
Dendriform algebras are certain splitting of associative algebras and arise naturally from Rota-Baxter operators, shuffle algebras and planar binary trees. In this paper, we first…
On certain classes of algebras in which centralizers are ideals
Ripan Saha, David A. Towers
This paper is primarily concerned with studying finite-dimensional anti-commutative nonassociative algebras in which every centralizer is an ideal. These are shown to be anti-assoc…
Cohomology and deformations of oriented dialgebras
Ali N. A. Koam, Ripan Saha
We introduce a notion of oriented dialgebra and develop a cohomology theory for oriented dialgebras based on the possibility to mix the standard chain complexes computing group coh…
On equivariant dendriform algebras
Apurba Das, Ripan Saha
Dendriform algebras are certain associative algebras whose product splits into two binary operations and the associativity splits into three new identities. In this paper, we study…
Equivariant one-parameter formal deformations of Hom-Leibniz algebras
Goutam Mukherjee, Ripan Saha
Aim of this paper is to define a new type of cohomology for multiplicative Hom-Leibniz algebras which controls deformations of Hom-Leibniz algebra structure. The cohomology and the…
On Leibniz algebras whose centralizers are ideals
Pratulananda Das, Ripan Saha
This paper concerns the study of Leibniz algebras, a natural generalization of Lie algebras, from the perspective of centralizers of elements. We study conditions on Leibniz algebr…
Cup-product in Hom-Leibniz cohomology and Hom-Zinbiel algebras
Ripan Saha
We define a cup-product in Hom-Leibniz cohomology and show that the cup-product satisfies the graded Hom-Zinbiel relation.
Some special property of Farey sequence
Ripan Saha
We discuss some special property of the Farey sequence. We show in each term of the Farey sequence, ratio of the sum of elements in the denominator and the sum of elements in the n…
Cup-product for equivariant Leibniz cohomology and zinbiel algebras
Goutam Mukherjee, Ripan Saha
We study finite group actions on Leibniz algebras, define equivariant cohomology groups associated to such actions. We show that there exists a cup-product operation on this graded…