The structure of Leibniz superalgebras admitting a multiplicative basis

DOI10.1016/j.geomphys.2016.07.011zbMath1353.17002OpenAlexW2487518793WikidataQ123094893 ScholiaQ123094893MaRDI QIDQ335829

Helena Albuquerque, José M. Sánchez Delgado, Maria Elisabete Félix Barreiro Carvalho, Antonio Jesús Calderón Martín

Publication date: 2 November 2016

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2016.07.011

zbMATH Keywords

structure theoryinfinite dimensionmultiplicative basisLeibniz superalgebra

Mathematics Subject Classification ID

Leibniz algebras (17A32)

Related Items

Invariant bilinear forms on Leibniz superalgebras, Decompositions of linear spaces induced by bilinear maps, ON LIE-YAMAGUTI SUPERALGEBRAS STRUCTURE ON LEIBNIZ SUPERALGEBRAS

Cites Work

• On split Leibniz superalgebras
• The classification of Leibniz superalgebras of nilindex \(n+m\) \((m\neq 0)\)
• Leibniz and Lie algebra structures for Nambu algebra
• The classification of filiform Leibniz superalgebras of nilindex \(n+m\)
• Classification of some nilpotent class of Leibniz superalgebras
• Leibniz algebras in characteristic
• On the description of Leibniz superalgebras of nilindex
• Leibniz Superalgebras Graded by Finite Root Systems
• LEIBNIZ SUPERALGEBRAS AND CENTRAL EXTENSIONS
• 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
• On the Structure of Graded Leibniz Algebras
• Universal Central Extensions of the Matrix Leibniz Superalgebras 𝔰𝔩(m,n, 𝒜)