Finite Dimensional Nilpotent Leibniz Algebras with Isomorphic Maximal Subalgebras

2022/05/25 by Lindsey Farris, Farris, Lindsey
Computer Science · Mathematics · #Advanced Topics in Algebra #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA) #Rings, Modules, and Algebras

paper · pdf · doi:10.48550/arxiv.2205.13027

openalex publication_date 2022/05/25 · openalex created_date 2022/06/13 · openalex updated_date 2026/07/28

Abstract

Nilpotent Leibniz algebras with isomorphic maximal subalgebras are considered. The algebras are classified for coclass zero, one, and two. The results are field dependent.

Related

• Second-Maximal Subalgebras of Leibniz Algebras
• Abelian subalgebras and ideals of maximal dimension in Leibniz algebras
• Maximal solvable Leibniz algebras whose nilradical is a quasi-filiform algebra
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