5 citations · 8 across the 5 of their papers we have counts for
6 papers
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…
On I-null Lie algebras
Louis Magnin
We consider the class of Lie algebras for which the Koszul 3-form is zero, and prove that it contains all quotients of Borel subalgebras, or of their nilradicals, of finite dimensi…
Two examples about zero torsion linear maps on Lie algebras
L. Magnin
The question of whether or not any zero torsion linear map on a non abelian real Lie algebra g is necessarily an extension of some CR-structure is considered and answered in the ne…
Some remarks about the second Leibniz cohomology group for Lie algebras
Louis Magnin
We compare by a very elementary approach the second adjoint and trivial Leibniz cohomology spaces of a Lie algebra to the usual ones. Examples are given of coupled cocycles. Some p…
Left invariant complex structures on U(2) and SU(2)xSU(2) revisited
Louis Magnin
We compute the torsion-free linear maps from the Lie algebra su(2) into itself, deduce a new determination of the integrable complex structures and their equivalence classes under…
Complex structures on indecomposable 6-dimensional nilpotent real Lie algebras
L. Magnin
We compute all complex structures on indecomposable 6-dimensional real Lie algebras and their equivalence classes. We also give for each of them a global holomorphic chart on the c…