The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier of Leibniz algebras

DOI10.1016/j.geomphys.2018.12.021zbMath1452.17003arXiv1710.10173OpenAlexW2963817696WikidataQ122962942 ScholiaQ122962942MaRDI QIDQ2416865

José Manuel Casas Mirás, Guy Roger Biyogmam

Publication date: 24 May 2019

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

Full work available at URL: https://arxiv.org/abs/1710.10173

zbMATH Keywords

\(c\)-Lie-capable\(c\)-Lie-central extension\(c\)-Lie-characteristic ideal\(c\)-Lie-stem cover\(c\)-nilpotent Schur Lie-multiplier

Mathematics Subject Classification ID

Homological methods in Lie (super)algebras (17B55) Solvable, nilpotent (super)algebras (17B30) Leibniz algebras (17A32)

Related Items (10)

On the Schur Lie-multiplier and Lie-covers of Leibniz n-algebras ⋮ The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier for the direct sum of two Leibniz algebras ⋮ The Schur multiplier of an n-Lie superalgebra ⋮ Unnamed Item ⋮ On some properties of generalized \textsf{Lie}-derivations of Leibniz algebras ⋮ On the dimension of the Schur \(\mathsf{Lie}\)-multiplier of a pair of Leibniz algebras ⋮ A study of n-Lie-isoclinic Leibniz algebras ⋮ Unnamed Item ⋮ On some properties of Lie-centroids of Leibniz algebras ⋮ Some Properties of ID∗-n-Lie-derivations of Leibniz algebras

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dimension of the \(c\)-nilpotent multiplier of Lie algebras
• On Lie-central extensions of Leibniz algebras
• Some inequalities for the dimension of the \(c\)-nilpotent multiplier of Lie algebras
• Verification of some properties of the c-nilpotent multiplier in Lie algebras
• Homology and generalized Baer invariants
• Universal enveloping algebras of Leibniz algebras and (co)homology
• A noncommutative version of Lie algebras: Leibniz algebras
• Galois theory and a general notion of central extension
• On \(\mathsf{Lie}\)-isoclinic Leibniz algebras
• On the c-covers and a special ideal of Lie algebras
• Some properties of the \(c\)-nilpotent multiplier of Lie algebras
• Universal central extensions in semi-abelian categories
• Universal strict general actors and actors in categories of interest
• A remark on the Schur multiplier of nilpotent Lie algebras
• The dimension of the \(c\)-nilpotent multiplier
• Some Properties of the c-Nilpotent Multiplier and c-Covers of Lie Algebras
• Groups with Multiple Operators
• The Schur Lie-multiplier of Leibniz algebras
• COMMUTATOR, NILPOTENCY, AND SOLVABILITY IN CATEGORIES
• Baer-Invariants of Algebras
• Representations of groups as quotient groups. II. Minimal central chains of a group
• Semi-abelian categories

This page was built for publication: The \(c\)-nilpotent Schur \(\mathsf{Lie}\)-multiplier of Leibniz algebras