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math.CO2024
The construction of a class of presentations for Specht modules
Tamar Friedmann
We build on the methods introduced by Friedmann, Hanlon, Stanley, and Wachs, and further developed by Brauner and Friedmann, to construct additional classes of presentations of Spe…
math.CO2024
On an -ary generalization of the Lie representation and tree Specht modules
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We continue our study, initiated in our prior work with Richard Stanley, of the representation of the symmetric group on the multilinear component of an -ary generalization of t…
math.CO2023
A new presentation for Specht modules with distinct parts
Tamar Friedmann, Phil Hanlon, Michelle L. Wachs
We obtain a new presentation for Specht modules whose conjugate shapes have strictly decreasing parts by introducing a linear operator on the space generated by column tabloids. Th…