Four-Dimensional Lie Algebras Revisited
Rings and Algebras
2022-09-01 v1 Symbolic Computation
Commutative Algebra
Abstract
The projective variety of Lie algebra structures on a 4-dimensional vector space has four irreducible components of dimension 11. We compute their prime ideals in the polynomial ring in 24 variables. By listing their degrees and Hilbert polynomials, we correct an earlier publication and we answer a 1987 question by Kirillov and Neretin.
Cite
@article{arxiv.2208.14631,
title = {Four-Dimensional Lie Algebras Revisited},
author = {Laurent Manivel and Bernd Sturmfels and Svala Sverrisdóttir},
journal= {arXiv preprint arXiv:2208.14631},
year = {2022}
}
Comments
9 pages