Cluster Algebras for Bosonic Plethysm

Yelin Fan, Jiarui Fei

Let $\mathbb{k}$ be an algebraically closed field of characteristic zero, let $V={\mathbb{k}}^{\ell }$ and $W={\mathbb{k}}^m$, and set \[ \mathcal R_{\ell,m}=\operatorname{Sym}(\operatorname{Sym}^2V\oti…