23 citations · 58 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
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…
On exact Courant algebras
Ashis Mandal
In this note we will show that exact Courant algebras over a Lie algebra can be characterised via Leibniz - cocycles, and the automorphism group of a given exact…
About Leibniz cohomology and deformations of Lie algebras
Alice Fialowski, Louis Magnin, Ashis Mandal
We compare the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones by a very elementary approach. The comparison gives some conditions, which ar…
Higher categorified algebras versus bounded homotopy algebras
David Khudaverdyan, Ashis Mandal, Norbert Poncin
We define Lie 3-algebras and prove that these are in 1-to-1 correspondence with the 3-term Lie infinity algebras whose bilinear and trilinear maps vanish in degree (1,1) and in tot…
An Example of Constructing Versal Deformation for Leibniz Algebras
Ashis Mandal
In this work we compute a versal deformation of the three dimensional nilpotent Leibniz algebra over , defined by the nontrivial brackets and $[e_3,e_3]…