English

A computational approach to almost-inner derivations

Rings and Algebras 2024-03-12 v1

Abstract

We present a computational approach to determine the space of almost-inner derivations of a finite dimensional Lie algebra given by a structure constant table. We also present an example of a Lie algebra for which the quotient algebra of the almost-inner derivations modulo the inner derivations is non-abelian. This answers a question of Kunyavskii and Ostapenko.

Keywords

Cite

@article{arxiv.2403.05905,
  title  = {A computational approach to almost-inner derivations},
  author = {Heiko Dietrich and Willem A. de Graaf},
  journal= {arXiv preprint arXiv:2403.05905},
  year   = {2024}
}
R2 v1 2026-06-28T15:14:29.886Z