On some non-nilpotent Leibniz algebras of dimension 3 and their automorphism groups

• Datum: 2026
• Hauptverfasser: Kurdachenko, Leonid A., Pypka, Oleksandr O., Subbotin, Igor Ya.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Lugansk National Taras Shevchenko University 2026
• Schlagworte: Leibniz algebra; automorphism group; Leibniz kernel; center; 17A32; 17A36
• Online Zugang: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2499
• 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 \(a,b,c\in L\). A linear transformation \(f\) of \(L\) is called an endomorphi...