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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.RT2024
Representations and cohomology of a matched pair of Lie algebras, and -algebras
Anusuiya Baishya, Apurba Das
The notion of a matched pair of Lie algebras was introduced in the study of Lie bialgebras and Poisson-Lie groups. In this paper, we introduce representations and cohomology of a m…
math.RT2023
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…