On naturally graded Lie and Leibniz superalgebras

DOI10.1007/s40840-019-00876-9zbMath1477.17011OpenAlexW2995904154WikidataQ123269248 ScholiaQ123269248MaRDI QIDQ2006677

Rosa María Navarro, L. M. Camacho, José M. Sánchez Delgado

Publication date: 12 October 2020

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://idus.us.es/handle//11441/115056

zbMATH Keywords

cohomologydeformationLie (super)algebrasLeibniz (super)algebrasnaturally graded

Mathematics Subject Classification ID

Superalgebras (17A70) Graded Lie (super)algebras (17B70) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (2)

Zinbiel superalgebras ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Corrigendum to: ``Classification of solvable Leibniz algebras with naturally graded filiform nilradical.
• Infinitesimal deformations of null-filiform Leibniz superalgebras
• Some problems concerning to nilpotent Lie superalgebras
• The classification of Leibniz superalgebras of nilindex \(n+m\) \((m\neq 0)\)
• Classification of Lie algebras with naturally graded quasi-filiform nilradicals
• Some deformations of nilpotent Lie superalgebras
• Infinitesimal deformations of the Lie superalgebra \(L^{n,m}\)
• Deformations of filiform Lie algebras and superalgebras
• A complete description of all the infinitesimal deformations of the Lie superalgebra \(L^{n,m}\)
• Varieties of nilpotent Lie algebras of dimension less than six
• The theory of Lie superalgebras. An introduction
• Rational homotopy of Leibniz algebras
• Classification of orbit closures of 4-dimensional complex Lie algebras
• A noncommutative version of Lie algebras: Leibniz algebras
• Naturally graded quasi-filiform Lie algebras
• Classification of solvable Leibniz algebras with naturally graded filiform nilradical
• Central extensions of null-filiform and naturally graded filiform non-Lie Leibniz algebras
• Complex Nilpotent Leibniz Superalgebras with Nilindex Equal to Dimension
• On the description of Leibniz superalgebras of nilindex
• ON THE CLASSIFICATION OF COMPLEX LEIBNIZ SUPERALGEBRAS WITH CHARACTERISTIC SEQUENCE (n - 1, 1 | m₁, …, m_k) AND NILINDEX n + m
• ON NILPOTENT AND SIMPLE LEIBNIZ ALGEBRAS
• Cohomology of Lie superalgebras and their generalizations
• Varieties of Nilpotent Complex Leibniz Algebras of Dimension Less than Five
• Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes

This page was built for publication: On naturally graded Lie and Leibniz superalgebras