23 citations · 58 across the 12 of their papers we have counts for
16 papers
Deformations of the five dimensional Heisenberg Lie algebra
Alice Fialowski, Ashis Mandal
In this note we explicitly give all the equivalent classes of deformations of the 5-dimensional Heisenberg Lie algebra over complex or real number fields. We show…
On Lie algebroid over algebraic spaces
Ashis Mandal, Abhishek Sarkar
We consider Lie algebroids over algebraic spaces (in short we call it as -spaces) by considering the sheaf of Lie-Rinehart algebras. We discuss about properties of universal env…
On Metric Leibniz Algebras and Deformations
Alice Fialowski, Ashis Mandal
In this note we consider low dimensional metric Leibniz algebras with an invariant inner product over the complex numbers up to five dimension. We study their deformations, and giv…
Extension, deformation and categorification of pairs
Apurba Das, Ashis Mandal
In this paper, we consider associative algebras equipped with derivations. A pair consisting of an associative algebra and a distinguished derivation is called an AssDer pair. We s…
Deformation of Hom-Lie-Rinehart algebras
Satyendra Kumar Mishra, Ashis Mandal
We study formal deformations of hom-Lie-Rinehart algebras. The associated deformation cohomology that controls deformations is constructed using multiderivations of hom-Lie-Rinehar…
Deformations of Courant pairs and Poisson algebras
Ashis Mandal, Satyendra Kumar Mishra
We study deformation of Courant pairs with a commutative algebra base. We consider the deformation cohomology bi-complex and describe a universal infinitesimal deformation. In a se…