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On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I

Bouetou Bouetou Thomas
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Abstract

We give the classification of 3-dimensional Bol algebras associated to the trilinears operations $(e_2,e_3, e_2)=e_1, (e_2, e_3, e_3)=\pme_2$. 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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Bouetou Bouetou Thomas. 2003-09-08. On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part I. https://arxiv.org/abs/math/0309122

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