A bijection between strongly stable and totally symmetric partitions

2023/02/05 by Ireland, Seth
#05A17 #13F55 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2302.02505

Abstract

Artinian monomial ideals in d variables correspond to d-dimensional partitions. We define d-dimensional strongly stable partitions and show that they correspond to strongly stable ideals in d variables. We show a bijection between strongly stable partitions and totally symmetric partitions which preserves the side length of the minimal bounding box.

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