Some remarks on graded nilpotent Lie algebras and the Toral Rank Conjecture

Guillermo Ames, Leandro Cagliero, Mónica Cruz

If $\mathfrak{n}$ is a ${\mathbb{Z}}_{+}^d$-graded nilpotent finite dimensional Lie algebra over a field of characteristic zero, it is well known that $\dim H^{\ast }(\mathfrak{n})\geq…