Complex filiform Lie algebras of dimension 11.
A classification of complex filiform Lie algebras of dimension \(\leq11\) was published by \textit{J.R.~Gómez, A.~Jimenéz-Merchán} and \textit{Y.~Khakimdjanov} [J. Pure Appl. Algebra 130, No.2, 133-158 (1998; Zbl 0929.17004)]. In the paper under review, the authors use a different method and succeed in exhibiting a more explicit list of all 11-dimensional complex filiform Lie algebras. The list actually consists of 188~families of algebras, most of the families depending on several complex parameters.
scientific article; zbMATH DE number 1981480