2023/11/11 by Marina Avitabile, Avitabile, Marina, Norberto Gavioli +3
Biochemistry, Genetics and Molecular Biology · Mathematics · #17B50 (Secondary) #17B70 (Primary) 17B65 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Peroxisome Proliferator-Activated Receptors #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2311.06540
openalex publication_date 2023/11/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Let E⊇ F be a field extension and M a graded Lie algebra of maximal class over E. We investigate the F-subalgebras L of M, generated by elements of degree 1. We provide conditions for L being either ideally r-constrained or not just infinite. We show by an example that those conditions are tight. Furthermore, we determine the structure of L when the field extension E⊇ F is finite. A class of ideally r-constrained Lie algebras which are not (r-1)-constrained is explicitly constructed, for every r≥ 1.