Explicit Forms of Cluster Variables on Double Bruhat Cells G^{u,e} of type C

Yuki Kanakubo, Toshiki Nakashima

Let $G=S{p}_{2r}(\mathbb{C})$ be a simply connected simple algebraic group over $\mathbb{C}$ of type $C_r$, $B$ and $B_{-}$ be its two opposite Borel subgroups, and $W$ be the associa…