Solvable Leibniz algebras with triangular nilradical
Lindsey Bosko-Dunbar, Matthew Burke, Jonathan Dunbar, J.T. Hird,, Kristen Stagg Rovira
TL;DR
This paper extends the classification of solvable Leibniz algebras with a triangular nilradical, providing a comprehensive categorization, including a complete example for the case when the nilradical is T(4).
Contribution
It generalizes existing Lie algebra classifications to Leibniz algebras with triangular nilradicals, including explicit classifications for specific cases.
Findings
Complete classification of Leibniz algebras with nilradical T(4)
Extension of Lie algebra classification results to Leibniz algebras
Framework for classifying solvable Leibniz algebras with triangular nilradicals
Abstract
A classification exists for Lie algebras whose nilradical is the triangular Lie algebra . We extend this result to a classification of all solvable Leibniz algebras with nilradical . As an example we show the complete classification of all Leibniz algebras whose nilradical is .
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Sphingolipid Metabolism and Signaling