Six-dimensional nilpotent Lie algebras over characteristic two

Several classifications of nilpotent Lie algebras of dimensions 6 are available in the literature and most of them contain several mistakes. In a recent paper, Willem de Graaf obtained a list of six-dimensional nilpotent Lie algebras over an arbitrary field of characteristic different from two. In my talk, I will explain how to use de Graaf's methods to obtain the corresponding classification for the missing case, namely for fields of characteristic two. In particular I will present the lists of six-dimensional nilpotent Lie algebras over finite fields and over algebraically closed fields of characteristic two.