4 citations · 17 across the 17 of their papers we have counts for
24 papers
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…
Hom-Yang-Baxter equations and Hom-Yang-Baxter systems
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
In this paper, we mainly present some new solutions of the Hom-Yang-Baxter equation from Hom-algebras, Hom-coalgebras and Hom-Lie algebras, respectively. Also, we prove that these…
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…
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…
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…