On the principal representations of reductive groups in defining characteristic

被引：2

作者：

Chen, Xiaoyu ^{[1
]}

机构：

[1] Shanghai Normal Univ, Dept Math, 100 Guilin Rd, Shanghai 200234, Peoples R China

来源：

JOURNAL OF ALGEBRA | 2023年 / 620卷

关键词：

Reductive group; Principal representation; MODULAR-REPRESENTATIONS; DECOMPOSITION; VARIETIES;

D O I：

10.1016/j.jalgebra.2023.01.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let p be a prime number. Let k = Fp, the algebraic closure of field Fp of p elements, and G be a connected reductive group defined over Fp and B be a Borel subgroup of G. Let 0 be a (one dimensional) character of B (may not be rational). We give the necessary and sufficient condition for M(0) = kG circle times kB 0 being finite length.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：669 / 689

页数：21

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