2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/68229We classify strongly homotopy Lie algebras - also called L-infinity algebras - of one even and two odd dimensions, which are related to $2|1$-dimensional $Z_2$-graded Lie algebras. What makes this case interesting is that there are many nonequivalent L-infinity examples, in addition to the $Z_2$-graded Lie algebra (or superalgebra) structures, yet the moduli space is simple enough that we can give a complete classification up to equivalence.26 pagesQuantum AlgebraK-Theory and HomologyRepresentation Theory14D15,13D10,14B12,16S80,16E40,17B55,17B70text