2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65351A Lie-admissible algebra gives by anticommutativity a Lie algebra. In this work we study remarkable classes of Lie-admissible algebras such as Vinberg, PreLie algebras. We compute the corresponding binary quadratic operads and study their Koszul duality. Considering Lie algebras as Lie-admissible algebras we can define for each Lie algebra a cohomology with values in a Lie-admissible module. This permits to study some deformations of Lie algebras in the category of Lie-admissible algebras. Lastly we study the tensor product between these operads and their dual operads. As application we construct new classes of Vinberg algebras.20 pagesRings and AlgebrasCategory TheoryDifferential GeometryLie-admissible algebras. Vinberg algebras. PreLie algebras. Operads. Cohomologytext