For each complex 8-dimensional filiform Lie algebra we find another nonisomorphic Lie algebra that degenerates to it. Since this is already known for nilpotent Lie algebras of rank ≥ 1, only the characteristically nilpotent ones should be considered.
|Journal||Journal of Algebra and its Applications|
|State||Published - Jun 2014|
- Filiform Lie algebras
- Grunewald-O'Halloran conjecture
- Vergne's conjecture