A Comparison of cluster algebra structures arising from $i$-boxes and Demazure weaves

JiSun Huh, Woo-Seok Jung, Myungho Kim +1

We compare two cluster algebras related to a positive element $\mathtt{b}$ in the braid group of finite $ADE$ type. One is the localized bosonic extension ${\widetilde{\mathbb{A}}}…