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

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Author(s):
Grishkov, A. ; Rasskazova, M. ; Shestakov, I.
Total Authors: 3
Document type: Journal article
Source: Journal of Algebra; v. 655, p. 10-pg., 2024-06-10.
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. (AU)

FAPESP's process: 21/12820-9 - Loops and related algebras
Grantee:Ivan Chestakov
Support Opportunities: Research Grants - Visiting Researcher Grant - International
FAPESP's process: 18/23690-6 - Structures, representations, and applications of algebraic systems
Grantee:Ivan Chestakov
Support Opportunities: Research Projects - Thematic Grants