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math.CO2025
On partitions associated with elementary symmetric polynomials
Cristina Ballantine, Shaheen Nazir, Bridget Eileen Tenner +2
The elementary symmetric partition function is a map on the set of partitions. It sends a partition lambda to the partition whose parts are the summands in the evaluation of the el…
math.CO2024
On the Correspondence Between Integer Sequences and Vacillating Tableaux
Zhanar Berikkyzy, Pamela E. Harris, Anna Pun +2
A fundamental identity in the representation theory of the partition algebra is for , where ranges over integer partitions of , is t…