Rowena Paget

collaborators

3 papers

math.RT2019

Plethysms of symmetric functions and representations of $SL_{2} (C)$

Rowena Paget, Mark Wildon

Let $\nabla^{λ}$ denote the Schur functor labelled by the partition $λ$ and let $E$ be the natural representation of $SL_{2} (C)$ . We make a systematic study of when t…

math.RT2019

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.

math.RT2018

Plethysms of symmetric functions and highest weight representations

Melanie de Boeck, Rowena Paget, Mark Wildon

Let $s_{ν} \circ s_{μ}$ denote the plethystic product of the Schur functions $s_{ν}$ and $s_{μ}$ . In this article we define an explicit polynomial representation corresponding to $s_ν\circ…

Plethysms of symmetric functions and representations of SL2​(C)

The uniqueness of plethystic factorisation

Plethysms of symmetric functions and highest weight representations

Plethysms of symmetric functions and representations of $SL_{2} (C)$