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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…
math.RA2014★ 1 cited
Super 3-Lie Algebras Induced by Super Lie Algebras
Viktor Abramov
We propose a notion of a super n-Lie algebra and construct a super n-Lie algebra with the help of a given binary super Lie algebra which is equipped with an analog of a supertrace.…