Minuscule reverse plane partitions via quiver representations

Abstract

The Hillman--Grassl correspondence is a well-known bijection between multisets of rim hooks of a partition shape $\lambda$ and reverse plane partitions of $\lambda$. We use the tools of quiver representations to generalize Hillman--Grassl in type $A$ and to define an analogue in all minuscule types. This is an extended abstract prepared for FPSAC 2019 based on arXiv:1812.08345, emphasizing its combinatorial aspects.

arXiv admin note: substantial text overlap with arXiv:1812.08345

Cited by in corpus (5)

• Cyclic Sieving for Plane Partitions and Symmetry
• RSK in last passage percolation: a unified approach
• Minuscule analogues of the plane partition periodicity conjecture of Cameron and Fon-Der-Flaass
• $P$-strict promotion and $Q$-partition rowmotion: the graded case
• Jordan recoverability of some subcategories of modules over gentle algebras