论文标题
史密斯 - 特雷曼理论与联系原则
Smith-Treumann theory and the linkage principle
论文作者
论文摘要
我们在Iwahori - satake类别的Whittaker模型的背景下应用Treumann的“史密斯理论”。我们推断出还原代数群体的代表理论在积极特征的领域：（a）链接原理的几何证明； （b）根据$ \ ell $的基础，用于倾斜模块的字符公式，在所有块和所有特征上都有效。
We apply Treumann's "Smith theory for sheaves" in the context of the Iwahori--Whittaker model of the Satake category. We deduce two results in the representation theory of reductive algebraic groups over fields of positive characteristic: (a) a geometric proof of the linkage principle; (b) a character formula for tilting modules in terms of the $\ell$-canonical basis, valid in all blocks and in all characteristics.
