MacMahon’s statistics on higher-dimensional partitions
We study some combinatorial properties of higher-dimensional partitions which generalize plane partitions. We present a natural bijection between d-dimensional partitions and d-dimensional arrays of nonnegative integers. This bijection has a number of important applications. We introduce a statistic...
Main Authors: | , |
---|---|
Format: | Article |
Language: | English |
Published: |
Cambridge University Press
2023-01-01
|
Series: | Forum of Mathematics, Sigma |
Subjects: | |
Online Access: | https://www.cambridge.org/core/product/identifier/S2050509423000610/type/journal_article |