Classification of the nilradical of \(k\)-th Yau algebras arising from singularities (Q2159152)

It is well known that every finite-dimensional Lie algebra is the semi-direct product of a semisimple Lie algebra and a solvable Lie algebra. Brieskorn gave the connection between simple Lie algebras and simple singularities. Simple Lie algebras have been well understood, but solvable and nilpotent Lie algebras are not. In the paper under review, the authors investigate the relation between the nilpotent Lie algebras of dimension less than or equal to \(7\) and the nilradical of \(k\)-th Yau algebras that arising from fewnomial singularity.