Two-generation of traceless matrices over finite fields
We prove that the Lie algebra sl n ( F q ) of traceless matrices over a finite field of characteristic p can be generated by 2 elements with exceptions when ( n , p ) is ( 3 , 3 ) or ( 4 , 2 ) . In the latter cases, we establish curious identities that obstruct 2-generation.
Authors
- Andoni Zozaya (ORCID: https://orcid.org/0000-0002-5342-4814)
- Urban Jezernik
- Omer Cantor (ORCID: https://orcid.org/0009-0007-2969-7170)
Institutions
- Universidad Pública de Navarra (UPNA) (ES)
- Institute of Mathematics, Physics, and Mechanics (SI)
- University of Haifa (IL)
Publication Details
- Journal
- Linear Algebra and its Applications
- Published
- 2025-02-28
- DOI
- https://doi.org/10.1016/j.laa.2025.02.023
- Citations
- 1
- Primary Topic
- Graph Labeling and Dimension Problems
- Type
- article
- Field-Weighted Citation Impact
- 1.50
Funders
- Javna Agencija za Raziskovalno Dejavnost RS
- Univerza v Ljubljani