English

Minuscule reverse plane partitions via quiver representations

Combinatorics 2019-04-08 v1

Abstract

The Hillman--Grassl correspondence is a well-known bijection between multisets of rim hooks of a partition shape λ\lambda and reverse plane partitions of λ\lambda. We use the tools of quiver representations to generalize Hillman--Grassl in type AA 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.

Cite

@article{arxiv.1904.02754,
  title  = {Minuscule reverse plane partitions via quiver representations},
  author = {Alexander Garver and Rebecca Patrias and Hugh Thomas},
  journal= {arXiv preprint arXiv:1904.02754},
  year   = {2019}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1812.08345

R2 v1 2026-06-23T08:29:45.312Z