A combinatorial model for the fermionic diagonal coinvariant ring

Jesse Kim

Let ${\Theta }_n=({\theta }_1,\dots ,{\theta }_n)$ and ${\Xi }_n=({\xi }_1,\dots ,{\xi }_n)$ be two lists of $n$ variables and consider the diagonal action of ${\mathfrak{S}}_n$ on the exterior algebra $\wedge \{ Θ_…