Filiform Lie algebras of dimension 8 as degenerations

Joan Felipe Herrera-Granada, Paulo Tirao

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish
Article number1350144
JournalJournal of Algebra and its Applications
Issue number4
StatePublished - Jun 2014
Externally publishedYes


  • Filiform Lie algebras
  • Grunewald-O'Halloran conjecture
  • Vergne's conjecture
  • deformations
  • degenerations


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