On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I
Abstract
We give the classification of 3-dimensional Bol algebras associated to the trilinears operations (e2,e3, e2)=e1, (e2, e3, e3)=2. It turn that for such trilinears operation there exist up to isomorphism and isotopy one family and one exceptional Bol algebras. We describe their corresponding 3-webs.
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