The Lie algebra of polynomial vector fields on the affine space is $2$-generated
Algebraic Geometry
2025-12-02 v1
Abstract
We prove that the infinite-dimensional Lie algebra of polynomial vector fields on the affine space is generated by two explicitly given elements.
Cite
@article{arxiv.2512.00604,
title = {The Lie algebra of polynomial vector fields on the affine space is $2$-generated},
author = {Ivan Beldiev},
journal= {arXiv preprint arXiv:2512.00604},
year = {2025}
}