On the algebra of derivations of some Leibniz algebras

• Date: 2024
• Main Authors: Kurdachenko, Leonid A., Semko, Mykola M., Subbotin, Igor Ya.
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2024
• Subjects: Leibniz algebra; Lie algebra; derivation; endomorphism; 17A32; 17A60; 17A99
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2316
• Journal Title: Algebra and Discrete Mathematics

Let \(L\) be an algebra over a field \(F\) with the binary operations \(+\) and \([-,-]\). Then \(L\) is called a left Leibniz algebra if it satisfies the left Leibniz identity \([[a,b],c]=[a,[b,c]]-[b,[a,c]]\) for all \(a,b,c\in L\). We study algebras of derivations of some non–nilpotent Leibniz al...