The decomposition of permutation module for infinite Chevalley groups  

作　　者：Xiaoyu Chen Junbin Dong 

机构地区：[1]Department of Mathematics,Shanghai Normal University,Shanghai 200234,China [2]School of Mathematical Sciences,Tongji University,Shanghai 200092,China

出　　处：《Science China Mathematics》2021年第5期921-930,共10页中国科学：数学（英文版）

基　　金：supported by National Natural Science Foundation of China (Grant Nos.11501546 and 11671297)。

摘　　要：Let G be a connected reductive group defined over F_q, the finite field with q elements. Let B be a Borel subgroup defined over F_q. In this paper, we completely determine the composition factors of the induced module M(tr) = kG ■tr(where tr is the trivial B-module) for any field k.

关 键 词：reductive group abstract representation permutation module flag variety 

分 类 号：O152[理学—数学]