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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68499We 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.18 pages papper presented at loops'03 conference in pragueAlgebraic Geometry11E57,17D99, 19L99, 20N05, 53A60On the Classification of One Class of Three-Dimensional Bol Algebras with Solvable Enveloping Lie Algebras of Small Dimension Part Itext