MORITA EQUIVALENCES AND THE INDUCTIVE BLOCKWISE ALPERIN WEIGHT CONDITION FOR TYPE A

被引：0

作者：

Feng, Zhicheng ^{[1
,2
,3
]}

Li, Zhenye ^{[4
]}

Zhang, Jiping ^{[2
,3
,5
]}

机构：

[1] Univ Sci & Technol Beijing, Sch Math & Phys, Beijing 100083, Peoples R China

[2] Southern Univ Sci & Technol, SICM, Shenzhen 518055, Peoples R China

[3] Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China

[4] Beijing Univ Chem Technol, Coll Math & Phys, Beijing 100029, Peoples R China

[5] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 376卷 / 09期

关键词：

Alperin weight conjecture; inductive condition; groups of type A; REPRESENTATIONS; CATEGORIES; CHARACTERS; 2-WEIGHTS; MCKAY;

D O I：

10.1090/tran/8972

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

As a step to establish the blockwise Alperin weight conjecture for all finite groups, we verify the inductive blockwise Alperin weight condition introduced by Navarro-Tiep and Spa & BULL;th for simple groups of Lie type A, split or twisted. Key to the proofs is to reduce the verification of the inductive condition to the isolated (that means unipotent) blocks, using the Jordan decomposition for blocks of finite reductive groups given by Bonnafe & PRIME;, Dat and Rouquier.

引用

页码：6497 / 6520

页数：24

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