2 papers
math.RA2020
Degenerations to filiform Lie algebras of dimension 9
Joan Felipe Herrera-Granada, Oscar Marquez, Sonia Vera
For most complex 9-dimensional filiform Lie algebra we find another non isomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of ran…
math.RA2018
A distinguished example of filiform deformation
Joan Felipe Herrera-Granada, Paulo Tirao, Sonia Vera
We exhibit an example of a filiform (complex) Lie algebra of dimension 13 with all its ideals of codimension 1 being characteristically nilpotent, and we construct a non trivial fi…