On Leibniz superalgebras which even part is 𝔰𝔩2

DOI10.1142/S0219498821501619zbMath1477.17032arXiv1905.00845OpenAlexW3042603859WikidataQ123121981 ScholiaQ123121981MaRDI QIDQ5157911

A. Kh. Khudoyberdiyev, Kh. A. Muratova

Publication date: 20 October 2021

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.00845

zbMATH Keywords

simple Lie algebraLeibniz algebraLeibniz superalgebraLeibniz representation

Mathematics Subject Classification ID

Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32) Automorphisms, derivations, other operators (nonassociative rings and algebras) (17A36)

Related Items (2)

Extensions of Leibniz superalgebras ⋮ Gröbner–Shirshov bases theory for Leibniz superalgebras

Cites Work

• On description of Leibniz algebras corresponding to \(sl _{2}\)
• Some problems concerning to nilpotent Lie superalgebras
• The classification of Leibniz superalgebras of nilindex \(n+m\) \((m\neq 0)\)
• The classification of filiform Leibniz superalgebras of nilindex \(n+m\)
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Leibniz representations of Lie algebras
• Classification of some nilpotent class of Leibniz superalgebras
• Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
• Some Theorems on Leibniz Algebras
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
• Some Leibniz bimodules of 𝔰𝔩2
• Lie superalgebras

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