3 papers
math.RT2025
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…
math.RA2024
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…
math.RA2024
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{…