模块上的一个hecke动作

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY Accounts of Chemical Research 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

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.

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