Free 2-step nilpotent Lie algebras and indecomposable modules

Leandro Cagliero, Luis Gutierrez, Fernando Szechtman

Given an algebraically closed field $F$ of characteristic 0 and an $F$-vector space $V$, let $L(V)=V\oplus {\Lambda }^2(V)$ denote the free 2-step nilpotent Lie algebra associated to $V$. In…