Elements of a Lie algebra acting nilpotently in all its representations
Algebraic Geometry
2022-09-28 v1
Abstract
An equivalent condition for an element of a Lie algebra acting nilpotently in all its representations is obtained. Namely, it should belong to the derived algebra and go via factoring over the radical to a nilpotent element of the corresponding (semisimple) quotient algebra.
Cite
@article{arxiv.2209.13309,
title = {Elements of a Lie algebra acting nilpotently in all its representations},
author = {O. G. Styrt},
journal= {arXiv preprint arXiv:2209.13309},
year = {2022}
}