On split Leibniz superalgebras

DOI10.1016/j.laa.2013.01.017zbMath1293.17001OpenAlexW2038857584WikidataQ123222595 ScholiaQ123222595MaRDI QIDQ393382

José M. Sánchez Delgado, Antonio Jesús Calderón Martín

Publication date: 17 January 2014

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2013.01.017

zbMATH Keywords

rootsstructure theoryLeibniz superalgebrasroot spaces

Mathematics Subject Classification ID

Structure theory for Lie algebras and superalgebras (17B05) Superalgebras (17A70) Leibniz algebras (17A32)

Related Items (10)

Extensions of Leibniz superalgebras ⋮ The structure of Leibniz superalgebras admitting a multiplicative basis ⋮ Invariant bilinear forms on Leibniz superalgebras ⋮ Gröbner–Shirshov bases theory for Leibniz superalgebras ⋮ On the structure of split regular Hom-Lie–Rinehart algebras ⋮ On split regular BiHom-Leibniz superalgebras ⋮ Leibniz algebras admitting a multiplicative basis ⋮ On Leibniz superalgebras with even part corresponding to \(\mathfrak{sl}_2 \) ⋮ On split involutive regular BiHom-Lie superalgebras ⋮ Split regular Hom-Leibniz color 3-algebras

Cites Work

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• An algorithm for the classification of 3-dimensional complex Leibniz algebras
• Description of some classes of Leibniz algebras
• The classification of Leibniz superalgebras of nilindex \(n+m\) \((m\neq 0)\)
• On the structure of split Lie color algebras
• Leibniz and Lie algebra structures for Nambu algebra
• On simple split Lie triple systems
• Conjugacy of Cartan subalgebras of complex finite-dimensional Leibniz algebras
• On split Lie algebras with symmetric root systems
• The classification of filiform Leibniz superalgebras of nilindex \(n+m\)
• The structure of locally finite split Lie algebras
• Classification of some nilpotent class of Leibniz superalgebras
• \(n\)-dimensional filiform Leibniz algebras of length \((n-1)\) and their derivations
• Leibniz algebras in characteristic
• Some radicals, Frattini and Cartan subalgebras of Leibnizn-algebras
• 3-Filiform Leibniz algebras of maximum length, whose naturally graded algebras are Lie algebras
• 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 the structure of split non-commutative Poisson algebras
• On split Lie superalgebras
• Cartan Subalgebras of Leibniz n-Algebras
• Universal Central Extensions of the Matrix Leibniz Superalgebras 𝔰𝔩(m,n, 𝒜)
• Quasi-filiform Lie algebras of maximum length

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