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Simple binary Lie and non-Lie superalgebra has solvable even part

A. Grishkov,M. Rasskazova,I. Shestakov

JOURNAL OF ALGEBRA（2024）

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Abstract
We prove that every simple finite dimensional binary Lie superalgebra over the complex numbers field C with non -zero odd part is either a Lie superalgebra or has a solvable even part. (c) 2023 Elsevier Inc. All rights reserved.
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Key words
Binary Lie algebra,Simple superalgebra,Irreducible module,Malcev algebra,Solvable algebra
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