4 problems

Minuscule doppelgänger mCDE conjecture. The lattices $J(P)$ and $J(Q)$ are both mCDE, with edge densities satisfying

Let $P$ be one of the two minuscule posets associated to an exceptional Lie algebra of type $E$, and let $k\in\mathbb{Z}_{\geq 0}$. Write ${\mathsf{PP}}^k(P)$ for the plane partiti…

A minuscule poset is a poset arising in the representation theory of a semisimple Lie algebra; for a poset $P$, let $J(P)$ denote its associated distributive lattice. The property…

Gaussian poset characterization conjecture. Every Gaussian poset is minuscule. The converse—that every minuscule poset is Gaussian—is also asserted in the source. This conjecture p…