Lie algebras and coherence

Dessislava H. Kochloukova

Lie algebras and coherence

Rings and Algebras 2026-07-05 v1

Authors: Dessislava H. Kochloukova

Abstract

We determine some sufficient conditions for the split extension of two free finitely generated non-abelian Lie algebras $L = F_1 \leftthreetimes F_2$ over an infinite field $K$ to be incoherent.

Cite

@article{arxiv.2607.04539,
  title  = {Lie algebras and coherence},
  author = {Dessislava H. Kochloukova},
  journal= {arXiv preprint arXiv:2607.04539},
  year   = {2026}
}