The decomposition of permutation module for infinite Chevalley groups

• 作者: Xiaoyu Chen Junbin Dong
• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2021,（5）
• 所属期刊栏目: Articles
• 页码范围: 921-930
• 页数: 10页
• 语种: 英文

摘要

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