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math.RA2013
Filiform Lie algebras of dimension 8 as degenerations
Joan Felipe Herrera-Granada, Paulo Tirao
For each complex 8-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.RA2013
The Grunewald-O'Halloran conjecture for nilpotent Lie algebras of rank >= 1
Joan Felipe Herrera-Granada, Paulo Tirao
Grunewald and O'Halloran conjectured in 1993 that every complex nilpotent Lie algebra is the degeneration of another, non isomorphic, Lie algebra. We prove the conjecture for the c…