Article

On Leibniz superalgebras which even part is 𝔰𝔩2

Kh. A. MuratovaInstitute of Mathematics Academy of Science of Uzbekistan, 81, Mirzo Ulug’bek Street, 100170 Tashkent, UzbekistanAbror KhudoyberdiyevInstitute of Mathematics Academy of Science of Uzbekistan, 81, Mirzo Ulug’bek Street, 100170 Tashkent, Uzbekistan

Journal of Algebra and Its Applicationsjournal2020en

ABI

Abstract

This paper deals with Leibniz superalgebras [Formula: see text] whose even part is a simple Lie algebra [Formula: see text]. We describe all such Leibniz superalgebras when odd part is an irreducible Leibniz bi-module on [Formula: see text]. We show that there exist such Leibniz superalgebras with nontrivial odd part only in case of [Formula: see text]

Topics

Advanced Topics in Algebra Algebraic structures and combinatorial models Advanced Algebra and Geometry

Identifiers

DOI: 10.1142/s0219498821501619

Citations and references

Cited by 1 13 references

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