The comass of a 2-form $\alpha$ is the maximal value of $\alpha(u,v)$ for a pair of unit vectors $u,v$. The symplectic form $\alpha$ on $\mathbb R^{2n}$ has the property that $|\alpha^{\wedge n}| = n!$. For example, in $\mathbb R^6$ one has $|\alpha^{\wedge 3}| = 6$. Are there 2-forms $a,b,c$ of unit comass on $\mathbb R^6$ such that $|a\wedge b\wedge c|>6$ ?
Note. A solution is provided at https://mathoverflow.net/a/448681/28128