18 citations · 23 across the 9 of their papers we have counts for
12 papers
Two stability theorems on plethysms of Schur functions
Rowena Paget, Mark Wildon
The plethysm product of Schur functions corresponds to composing polynomial representations of infinite general linear groups. Finding the plethysm coefficients $\langle s_ν\circ s…
The partition algebra and the plethysm coefficients II: ramified plethysm
Chris Bowman, Rowena Paget, Mark Wildon
The plethysm coefficient is the multiplicity of the Schur function in the plethysm product . In this paper we use Schur--Weyl duality between wreat…
The classification of multiplicity-free plethysms of Schur functions
Christine Bessenrodt, Chris Bowman, Rowena Paget
We classify and construct all multiplicity-free plethystic products of Schur functions. We also compute many new (infinite) families of plethysm coefficients, with particular empha…
Plethysms of symmetric functions and representations of
Rowena Paget, Mark Wildon
Let denote the Schur functor labelled by the partition and let be the natural representation of . We make a systematic study of when t…
The uniqueness of plethystic factorisation
Chris Bowman, Rowena Paget
We prove that a plethysm product of two Schur functions can be factorised uniquely and classify homogeneous and indecomposable plethysm products.
Plethysms of symmetric functions and highest weight representations
Melanie de Boeck, Rowena Paget, Mark Wildon
Let denote the plethystic product of the Schur functions and . In this article we define an explicit polynomial representation corresponding to $s_ν\circ…
The partition algebra and the plethysm coefficients I: stability and Foulkes' conjecture
Chris Bowman, Rowena Paget
We propose a new approach to study plethysm coefficients by using the Schur-Weyl duality between the symmetric group and the partition algebra. This allows us to explain the stabil…
Generalized Foulkes modules and maximal and minimal constituents of plethysms of Schur functions
Rowena Paget, Mark Wildon
This paper proves a combinatorial rule giving all maximal and minimal partitions such that the Schur function appears in a plethysm of two arbitrary Schur functions. Dete…
Minimal and maximal constituents of twisted Foulkes characters
Rowena Paget, Mark Wildon
We prove combinatorial rules that give the minimal and maximal partitions labelling the irreducible constituents of a family of characters for the symmetric group that generalize F…
Decompositions of some twisted Foulkes characters
Melanie de Boeck, Rowena Paget
We decompose the twisted Foulkes characters , or equivalently the plethysm , in the cases where has either two rows or two columns, or is a hook…
Character deflations and a generalization of the Murnaghan--Nakayama rule
Anton Evseev, Rowena Paget, Mark Wildon
Given natural numbers m and n, we define a deflation map from the characters of the symmetric group S_{mn} to the characters of S_n. This map is obtained by first restricting a cha…
Set families and Foulkes modules
Rowena Paget, Mark Wildon
We construct a new family of homomorphisms from Specht modules into Foulkes modules for the symmetric group. These homomorphisms are used to give a combinatorial description of the…