Séminaire Lotharingien de Combinatoire, 82B.44 (2019), 12 pp.

Alexander Garver, Rebecca Patrias, and Hugh Thomas

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 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.

Received: November 15, 2018. Accepted: February 17, 2019. Final version: April 1, 2019.

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