COMPLEX STRUCTURES ON STRATIFIED LIE ALGEBRAS

Abstract We investigate some properties of complex structures on Lie algebras. In particular, we focus nilpotent that are characterised by suitable J -invariant ascending or descending central series, $\mathfrak {d}^{\,j}$ and {d}_j$ , respectively. introduce a new series {p}_j$ use it to prove characterisation structures. also examine whether stratified algebras preserve the strata. find there exists stratification step $2$ algebra with structure.