Low-dimensional nilpotent Leibniz algebras and their automorphism groups

• Дата: 2024
• Автори: Minaiev, Pavlo Ye., Pypka, Oleksandr O., Semko, Larysa P.
• Формат: Стаття
• Мова: English
• Опубліковано: Lugansk National Taras Shevchenko University 2024
• Теми: Leibniz algebra; automorphism group; 17A32; 17A36
• Онлайн доступ: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2264
• 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 Leibniz algebra if it satisfies the Leibniz identity: \([a,[b,c]]=[[a,b],c]+[b,[a,c]]\) for all \(a,b,c\in L\). A linear transformation \(f\) of \(L\) is called an endomorphism of \(L\), i...