A Polyhedral Formula for $n\times 2\times 2$ Kronecker Coefficients via Cluster Algebras

Jiarui Fei, Chenxin Xue

Let \[ \Bbbk[\Bbbk^3\otimes\Bbbk^2\otimes\Bbbk^2]^{U_3\times U_2\times U_2}. \] We construct an ordinary cluster family with Markov principal part. At $\zeta =-1$, the intersection of i…