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arXiv · 1504.04001

Triangulable Leibniz Algebras

Tiffany Burch·Ernie Stitzinger
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Abstract

A converse to Lie's theorem for Leibniz algebras is found and generalized. The result is used to find cases in which the generalized property, called triangulable, is 2-recognizeable; that is, if all 2-generated subalgebras are triangulable, then the algebra is also. Triangulability joins solvability, supersolvability, strong solvability, and nilpotentcy as a 2-recognizeable property for classes of Leibniz algebras.

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Tiffany Burch, Ernie Stitzinger. 2015-04-15. Triangulable Leibniz Algebras. https://arxiv.org/abs/1504.04001

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