Skein and cluster algebras of unpunctured surfaces for ${\mathfrak{sl}}_3$

Tsukasa Ishibashi, Wataru Yuasa

For an unpunctured marked surface $\Sigma$, we consider a skein algebra ${\mathcal{S}}_{{\mathfrak{sl}}_3,\Sigma }^q$ consisting of ${\mathfrak{sl}}_3$-webs on $\Sigma$ with the boundary skein relat…