On the cohomology of solvable Leibniz algebras

DOI10.1016/j.indag.2023.09.002arXiv2304.03116WikidataQ123251282 ScholiaQ123251282MaRDI QIDQ6146224

Jörg Feldvoss, Friedrich Wagemann

Publication date: 10 January 2024

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2304.03116

zbMATH Keywords

Hochschild cohomologyinner derivationmaximal subalgebrainfinitesimal deformationminimal idealnilpotent Leibniz algebraChevalley-Eilenberg cohomologyFrattini subalgebraLeibniz cohomologyfitting decompositionsolvable Leibniz algebracohomological (non-)vanishingright faithful Leibniz bimoduleright self-centralizing idealrigid Leibniz algebrasemi-simple Leibniz algebrasupersolvable Leibniz algebra

Mathematics Subject Classification ID

Nonassociative rings and algebras (17-XX) Quantum theory (81-XX)

Cites Work

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• Universal enveloping algebras of Leibniz algebras and (co)homology
• On Leibniz homology
• Complete Leibniz algebras
• On Leibniz cohomology
• On the cohomology of soluble Lie algebras
• Schunck Classes of Soluble Leibniz Algebras
• Some Theorems on Leibniz Algebras
• On the Vanishing of Homology and Cohomology Groups of Associative Algebras
• On the Cohomology of Associative Algebras and Lie Algebras
• Deformations et rigidite geometrique des algebres de leibniz
• On the subalgebra lattice of a Leibniz algebra
• Leibniz algebras as non-associative algebras
• On Nilpotent Properties of Leibniz Algebras
• A Frattini Theory for Algebras

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