论文标题
辫子小组对扩展晶体的作用
Braid group action on extended crystals
论文作者
论文摘要
在论文中，我们证明存在有限类型的扩展水晶$ \ wideHat {b}（\ infty）$的辫子组动作。从晶体相似性的角度研究了扩展的水晶$ \ widehat {b}（\ infty）$及其编织组动作。然后，我们在hernandez-leclerc类别中解释了$ \ wideHat {b}（\ infty）$上的编织组动作$ \ mathscr {c} _ \ mathfrak {g}^0 $。
In the paper, we prove that there exists a braid group action on the extended crystal $\widehat{B}(\infty)$ of finite type. The extended crystal $\widehat{B}(\infty)$ and its braid group action are investigated from the viewpoint of crystal similarity. We then interpret the braid group action on $\widehat{B}(\infty)$ in the Hernandez-Leclerc category $\mathscr{C}_\mathfrak{g}^0$.
