23 citations · 58 across the 12 of their papers we have counts for
5 papers · 1 filter
Universal Central Extensions and Non-abelian tensor product of Hom-Lie-Rinehart Algebras
Ashis Mandal, Satyendra Kumar Mishra
In this paper we study universal central extensions and non-abelian tensor product of hom-Lie-Rinehart algebras. We discuss about universal - central extensions, and, lifting of…
On Hom-Gerstenhaber algebras and Hom-Lie algebroids
Ashis Mandal, Satyendra Kumar Mishra
We define the notion of hom-Batalin-Vilkovisky algebras and strong differential hom-Gerstenhaber algebras as a special class of hom-Gerstenhaber algebras and provide canonical exam…
Hom-Lie-Rinehart Algebras
Ashis Mandal, Satyendra Kumar Mishra
We introduce hom-Lie-Rinehart algebras as an algebraic analogue of hom-Lie algebroids, and systematically describe a cohomology complex by considering coefficient modules. We defin…
Cohomology and deformations of Courant pairs
Ashis Mandal, Satyendra Kumar Mishra
In this note we define a notion of Courant pair as a Courant algebra over the Lie algebra of linear derivations on an associative algebra. We study formal deformations of Courant p…
Leibniz algebra deformations of a Lie algebra
Alice Fialowski, Ashis Mandal
In this note we compute Leibniz algebra deformations of the 3-dimensional nilpotent Lie algebra and compare it with its Lie deformations. It turns out that there a…