A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras
A refinement of the toral rank conjecture for 2-step nilpotent Lie algebras
It is known that the total (co)-homoloy of a 2-step nilpotent Lie algebra $\mathfrak {g}$ is at least $2^{|\mathfrak {z}|}$, where $\mathfrak {z}$ is the center of $\mathfrak {g}$. We improve this result by showing that a better lower bound is $2^t$, where $t={|\mathfrak {z}|+\left [\frac {|v|+1}2\right ]}$ and $v$ …