Minuscule reverse plane partitions via quiver representation
Minuscule reverse plane partitions, quiver representation
The Hillman–Grassl correspondence is a well-known bijection between multisets of rim hooks of a partition shape λ and reverse plane partitions of λ. We use the tools of quiver representations to generalize Hillman–Grassl in type A and to define an analogue in all minuscule types.
Proceedings of the 31st Conference on Formal Power Series and Algebraic Combinatorics