2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/124938In this article we study extensions of Z_2-graded L_infinity algebras on a vector space of two even and one odd dimension. In particular, we determine all extensions of a super Lie algebra as an L_infinity algebra. Our convention on the parities is the opposite of the usual one, because we define our structures on the symmetric coalgebra of the parity reversion of a space.Quantum AlgebraK-Theory and Homology14D15,13D10,14B12,16S80,16E40,17B55,17B70text