A field-independent filtration of plethystic modules for ${\mathrm{SL}}_2(\mathbb{F})$ that categorifies a product rule for the Cartan subalgebra of ${\mathcal{U}}_q({\mathfrak{sl}}_2)$

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

We lift a product rule in the Cartan subalgebra of quantum ${\mathfrak{sl}}_2$ to a filtration of the plethystic representation ${\Delta }^{(n,m)}{\mathrm{Sym}}^{d}E$ of the affine group scheme…