English

Degenerations to filiform Lie algebras of dimension 9

Rings and Algebras 2020-09-29 v1

Abstract

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 rank 1\geq 1, only the characteristically nilpotent ones should be considered.

Keywords

Cite

@article{arxiv.2009.13054,
  title  = {Degenerations to filiform Lie algebras of dimension 9},
  author = {Joan Felipe Herrera-Granada and Oscar Marquez and Sonia Vera},
  journal= {arXiv preprint arXiv:2009.13054},
  year   = {2020}
}