论文标题
Frobenius内核块的几何模型
A geometric model for blocks of Frobenius kernels
论文作者
论文摘要
Building on a geometric counterpart of Steinberg's tensor product formula for simple representations of a connected reductive algebraic group $G$ over a field of positive characteristic, and following an idea of Arkhipov--Bezrukavnikov--Braverman--Gaitsgory--Mirković, we define and initiate the study of some categories of perverse sheaves on the affine Grassmannian of the Langlands双组至$ g $，应该为Frobenius内核$ g_1 $ $ g $的表示形式提供几何模型。特别是，我们表明这些类别承认足够的投影和注射对象，这些对象与某些倾斜的倾斜滑轮密切相关，并且它们在适当的广义意义上是最高的重量类别。
Building on a geometric counterpart of Steinberg's tensor product formula for simple representations of a connected reductive algebraic group $G$ over a field of positive characteristic, and following an idea of Arkhipov--Bezrukavnikov--Braverman--Gaitsgory--Mirković, we define and initiate the study of some categories of perverse sheaves on the affine Grassmannian of the Langlands dual group to $G$ that should provide geometric models for blocks of representations of the Frobenius kernel $G_1$ of $G$. In particular, we show that these categories admit enough projective and injective objects, which are closely related to some tilting perverse sheaves, and that they are highest weight categories in an appropriate generalized sense.
