Zeta functions of solvable Lie algebras over finite fields -- with calculations in detail
Abstract
Let $L$ be a solvable Lie algebra of dimension less than or equal to 4 over finite fields. We compute and record, in explicit symbolic form, the zeta functions enumerating subalgebras or ideals of $L$, and study their properties. We also discuss the implications of our data, in particular in relation to the general theory of Lie algebras over finite fields and zeta functions of Lie algebras over commutative rings.
Fields of Study & Subjects
Advanced Topics in Algebra
Advanced Algebra and Geometry
Finite Group Theory Research
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Language
- EN
- Document type
- Preprint