Modular isomorphisms of ${\mathrm{SL}}_2(\mathbb{F})$-plethysms for Weyl modules labelled by hook partitions

Álvaro Gutiérrez, Álvaro L. Martínez, Michał Szwej +1

Let ${\Delta }^{\lambda }$ be the Weyl functor for the partition $\lambda$ and let $E$ be the natural $2$-dimensional representation of ${\mathrm{SL}}_2(\mathbb{F})$, where $\mathbb{F}$ is an arbitrary fie…