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New Examples of Binary Lie Superalgebras and Algebras

New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.

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Bibliographic Details
Published in:Algebra and logic 2022, Vol.60 (6), p.366-374
Main Authors: Grishkov, A. N., Shestakov, I. P., Rasskazova, M. N.
Format: Article
Language:English
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Description
Summary:New constructions of prime binary Lie superalgebras are presented. Based on one of these, we construct the first example of a prime binary Lie algebra that is not a Mal’tsev algebra.
ISSN:0002-5232
1573-8302
DOI:10.1007/s10469-022-09663-1