English

Filiform Lie algebras of dimension 8 as degenerations

Rings and Algebras 2013-08-22 v1

Abstract

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 rank 1\ge 1, only the caracteristically nilpotent ones should be considered.

Keywords

Cite

@article{arxiv.1308.4580,
  title  = {Filiform Lie algebras of dimension 8 as degenerations},
  author = {Joan Felipe Herrera-Granada and Paulo Tirao},
  journal= {arXiv preprint arXiv:1308.4580},
  year   = {2013}
}