Abstract:Using diagrammatic methods, we define a quiver with relations depending on a prime $\mathsf {p}$ and show that the associated path algebra describes the category of tilting modules for $\mathrm {SL}_{2}$ in characteristic $\mathsf {p}$. Along the way we obtain a presentation for morphisms between $\mathsf {p}$-Jones–Wenzl projectors.

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中文翻译：

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用于 𝑆𝐿₂ 倾斜模块的箭袋

摘要：使用图解方法，我们定义了一个依赖于素数 $\mathsf {p}$ 的箭袋，并表明相关的路径代数描述了 $\mathrm {SL}_{2}$ 在特征上的倾斜模块的类别$\mathsf {p}$。在此过程中，我们获得了 $\mathsf {p}$-Jones–Wenzl 投影仪之间的态射演示。

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