2-Recognizeable Classes of Leibniz Algebras

Allison McAlister; Elyse Rogers; Ernie Stitzinger; Meredith Harris; S.McKay Sullivan; Tiffany Burch

arxiv: 1407.8227 · v2 · pith:3UPYW6KAnew · submitted 2014-07-30 · 🧮 math.RA

2-Recognizeable Classes of Leibniz Algebras

Tiffany Burch , Meredith Harris , Allison McAlister , Elyse Rogers , Ernie Stitzinger , S.McKay Sullivan This is my paper

classification 🧮 math.RA

keywords algebrasclassessolvablecharacteristicleibnizrecognizeablealgebraicallycertain

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We show that for fields that are of characteristic 0 or algebraically closed of characteristic greater than 5, that certain classes of Leibniz algebras are 2-recognizeable. These classes are solvable, strongly solvable and super solvable. These results hold in Lie algebras and in general for groups.

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2-Recognizeable Classes of Leibniz Algebras

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