Solvable Leibniz Algebras with Abelian Nilradicals
Lindsey Bosko-Dunbar, Matthew Burke, Jonathan D. Dunbar, J.T. Hird,, and Kristen Stagg Rovira
TL;DR
This paper classifies solvable Leibniz algebras that are one-dimensional extensions of abelian nilradicals, expanding the understanding of their structure beyond Lie algebras.
Contribution
It provides a new classification of solvable Leibniz algebras with abelian nilradicals, extending previous Lie algebra results to Leibniz algebras.
Findings
Complete classification of such Leibniz algebras
Identification of structural differences from Lie algebra cases
Framework for analyzing extensions of abelian nilradicals
Abstract
We extend the classification of solvable Lie algebras with abelian nilradicals to classify solvable Leibniz algebras which are one dimensional extensions of an abelian nilradicals.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Matrix Theory and Algorithms