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- GLA UniversityIN7 papers
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6 papers · 1 filter
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…
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…
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.
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…