We relate the category of sheaves on alcoves that was constructed in [FL1] to the representation theory of reductive algebraic groups. In particular, we show that its indecomposable projective objects encode the irreducible rational characters of a connected, semisimple and simply connected reductive algebraic group for characteristics above the Coxeter number.

中文翻译：

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凹穴和模块表示的交换II

我们将[FL1]中构造的凹轮上的滑轮的类别与归约代数群的表示理论相关联。特别是，我们证明了其不可分解的射影对象为Coxeter数以上的特征编码了一个连接的，半简单的和简单连接的还原代数群的不可约理性性。