Viktor Abramov

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math.RA2025

Associative ternary algebras and ternary Lie algebras at cube roots of unity

Anti Maria Aader, Viktor Abramov, Olga Liivapuu

We propose an approach to extending the concept of a Lie algebra to ternary structures based on $ω$ -symmetry, where $ω$ is a primitive cube root of unity. We give a definition of a…

math.RA2024

Ternary Associativity and Ternary Lie Algebra at Cube Root of Unity

Viktor Abramov

We propose a new approach to extending the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on ternary associativity of the…