Solvable Leibniz algebras with quasi-filiform Lie algebras of maximum length nilradicals

2018/01/26 by Kh.A. Khalkulova, Kh. A. Khalkulova, Khalkulova, Kh. A. +7 · 2 citations
Mathematics · Physics and Astronomy · #17A32 #17A36 #17B30 #17B56 #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #FOS: Mathematics #Nonlinear Waves and Solitons #Rings and Algebras (math.RA) #math.AG #math.RA #msc:17A32 #msc:17A36 #msc:17B30 #msc:17B56

paper · pdf · doi:10.48550/arxiv.1801.08935

15 pages

arxiv created 2018/01/26 · openalex publication_date 2018/01/26 · arxiv updated 2018/01/29 · openalex created_date 2018/02/02 · openalex updated_date 2026/07/28

Abstract

In this paper solvable Leibniz algebras whose nilradical is quasi-filiform Lie algebra of maximum length, are classified. The rigidity of such Leibniz algebras with two-dimensional complemented space to nilradical is proved.

Citations

• Universal enveloping algebras of Leibniz algebras and (co)homology

Cited by

• Local and 2-Local automorphisms of n-dimensional totally graded filiform Lie algebras
• Solvable Leibniz algebras whose nilradical is a quasi-filiform Leibniz algebra of maximum length

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