The principal representation category of infinite reductive groups is not a highest weight category

被引：1

作者：

Chen, Xiaoyu ^{[1
]}

机构：

[1] Shanghai Normal Univ, Shanghai, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2023年 / 51卷 / 01期

关键词：

Abstract representation; reductive group;

D O I：

10.1080/00927872.2022.2092631

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper shows that the Dong's conjecture in Dong (J. Algebra 591:342-359, 2022) on the principal representation category of infinite reductive group is not true. Thus, it needs to be modified.

引用

页码：157 / 160

页数：4

共 4 条

[1] Abstract-Induced Modules for Reductive Algebraic Groups With Frobenius Maps
Chen, Xiaoyu
Dong, Junbin
[J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2022, 2022 (05) : 3308 - 3348
[2] CLINE E, 1988, J REINE ANGEW MATH, V391, P85
[3] The principal representations of reductive algebraic groups with Frobenius maps
Dong, Junbin
[J]. JOURNAL OF ALGEBRA, 2022, 591 : 342 - 359
[4] Some infinite dimensional representations of reductive groups with Frobenius maps
Xi NanHua
[J]. SCIENCE CHINA-MATHEMATICS, 2014, 57 (06) : 1109 - 1120

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