On the algebra of derivations of some low-dimensional Leibniz algebras

• Дата: 2023
• Автори: Kurdachenko, L. A., Semko, M. M., Subbotin, I. Ya.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2023
• Теми: Leibniz algebra; nilpotent Leibniz algebra; dimension; derivation; 17A32; 17A60; 17A99
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2161
• Назва журналу: 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 the algebras of derivations of nilpotent Leibniz algebras...