The topology of the set of nonsoliton Lie algebras in the moduli space of nilpotent Lie algebras
arXiv:1112.3422
Abstract
A Lie algebra is called nonsoliton if it does not admit a soliton inner product. We demonstrate that the subset of nonsoliton Lie algebras in the moduli space of indecomposable n-dimensional N-graded nilpotent Lie algebras is discrete if and only if n <= 7.