模块上的一个hecke动作

IF 1.1 2区数学 Q1 MATHEMATICS

Journal of the Institute of Mathematics of Jussieu Pub Date : 2023-04-28 DOI:10.1017/s1474748023000130

N. Abe

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引用次数: 1

摘要

我们在$G_1T$ -模的主块$\ mathm {Rep}_0(G_1T)$上构造仿射Hecke范畴的作用，其中G是特征为$p> $的代数闭域上的连通约化群，T是G的极大环面，$G_1$是G的Frobenius核。为了定义它，我们定义了一个具有Hecke作用的新范畴，该范畴等价于andersen - jantsen - soergel定义的组合范畴。

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A HECKE ACTION ON -MODULES

We construct an action of the affine Hecke category on the principal block

$\mathrm {Rep}_0(G_1T)$

$G_1T$

-modules where G is a connected reductive group over an algebraically closed field of characteristic

$p> 0$

, T a maximal torus of G and

$G_1$

the Frobenius kernel of G. To define it, we define a new category with a Hecke action which is equivalent to the combinatorial category defined by Andersen-Jantzen-Soergel.

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来源期刊

Journal of the Institute of Mathematics of Jussieu 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of the Institute of Mathematics of Jussieu publishes original research papers in any branch of pure mathematics; papers in logic and applied mathematics will also be considered, particularly when they have direct connections with pure mathematics. Its policy is to feature a wide variety of research areas and it welcomes the submission of papers from all parts of the world. Selection for publication is on the basis of reports from specialist referees commissioned by the Editors.