15 citations · 48 across the 19 of their papers we have counts for
Showing 2021Show all
3 papers · 1 filter
math.RA2021
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…
math.RA2021
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…
math.RA2021
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…