Ternary Associativity and Ternary Lie Algebras at Cube Roots of Unity
We propose a new approach to extend the notion of commutator and Lie algebra to algebras with ternary multiplication laws. Our approach is based on the ternary associativity of the first and second kinds. We propose a ternary commutator, which is a linear combination of six triple products (all perm...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-10-01
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| Series: | Axioms |
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| Online Access: | https://www.mdpi.com/2075-1680/13/10/687 |