3 citations · 4 across the 7 of their papers we have counts for
9 papers
Diassociative conformal algebras and their deformation cohomology
Anupam Sahoo, Apurba Das
In this paper, we introduce diassociative conformal algebras that unify both associative conformal algebras and diassociative algebras. We show that the category of diassociative c…
Nijenhuis operators and twisted -operators on Nambu-Poisson algebras
Apurba Das, Fattoum Harrathi, Sami Mabrouk
A ternary Nambu-Poisson algebra (which we call a Nambu-Poisson algebra in the paper) is the underlying algebraic structure of Nambu-Poisson manifolds of order that appeared in…
Associative-Yamaguti algebras
Apurba Das
In this paper, we first introduce associative-Yamaguti algebras as the associative analogue of Lie-Yamaguti algebras. Associative algebras, reductive associative algebras and assoc…
From -Leibniz algebras and linear -racks to the solutions of the (higher analogue of) Yang-Baxter equation
Apurba Das, Suman Majhi
In this paper, we first demonstrate that a finite-dimensional -Leibniz algebra naturally gives rise to an -rack structure on the underlying vector space. Given any -Leibni…
Applications of Poisson cohomology to the inducibility problems and study of deformation maps
Apurba Das, Ramkrishna Mandal, Anupam Sahoo
This paper provides some applications of the Poisson cohomology groups introduced by Flato, Gerstenhaber and Voronov. Given an abelian extension of a Poisson algebra by a represent…
Deformation maps in proto-twilled Leibniz algebras
Apurba Das, Suman Majhi, Ramkrishna Mandal
This paper aims to find a unified approach to studying the cohomology theories of various operators on Leibniz algebras. We first introduce deformation maps in a proto-twilled Leib…
Quasi-twilled associative algebras, deformation maps and their governing algebras
Apurba Das, Ramkrishna Mandal
A quasi-twilled associative algebra is an associative algebra whose underlying vector space has a decomposition such that $B \subset \mathbb{…
Homotopification and categorification of Leibniz conformal algebras
Apurba Das, Anupam Sahoo
Bakalov, Kac and Voronov introduced Leibniz conformal algebras (and their cohomology) as a non-commutative analogue of Lie conformal algebras. Leibniz conformal algebras are closel…
Cohomology and deformations of hom-dendriform algebras and coalgebras
Apurba Das
Hom-dendriform algebras are twisted analog of dendriform algebras and are splitting of hom-associative algebras. In this paper, we define a cohomology and deformation for hom-dendr…