2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/169441We study representations of the simple Lie antialgebra $asl_2$ introduced by Ovsienko. We show that representations of $asl_2$ are closely related to the famous ghost Casimir element of the universal enveloping algebra $osp(1|2)$. We prove that $asl_2$ has no non-trivial finite-dimensional representations; we define and classify some particular infinite-dimensional representations that we call weighted representations.17 pagesRepresentation TheoryRings and Algebras16W55;17B10text