On the structure of automorphism groups of some low-dimensional Leibniz algebras

• Date: 2024
• Main Authors: Kurdachenko, L., Pypka, O., Semko, M., Курдаченко, Леонід, Пипка, Олександр, Семко, Микола
• Format: Article
• Language: Ukrainian
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7868
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 512.554 Let $L$ be an algebra over a field $F$ with binary operations $+$ and $[,]$. $L$ is called a left Leibniz algebra if it satisfies the left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. We study he structure of the  group of aut...