2022/08/31 by Laurent Manivel, Bernd Sturmfels, Manivel, Laurent +3
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Commutative Algebra (math.AC) #FOS: Computer and information sciences #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #Symbolic Computation (cs.SC)
paper · pdf · doi:10.48550/arxiv.2208.14631
openalex publication_date 2022/08/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.