Quiver representations of extended subgroup posets of finite groups

被引：0
|
作者：
Iiyori, Nobuo [1 ]
Sawabe, Masato [2 ]
机构：
[1] Yamaguchi Univ, Fac Educ, Dept Math, Yamaguchi 7538511, Japan
[2] Chiba Univ, Fac Educ, Dept Math, Inage Ku, Yayoi Cho 1-33, Chiba 2638522, Japan
来源：
HOKKAIDO MATHEMATICAL JOURNAL | 2022年 / 51卷 / 03期
关键词：
quiver representation; subgroup poset; induction; restriction; PARTIALLY ORDERED SETS; HOMOLOGY;
D O I：
10.14492/hokmj/2020-401
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Based on the behavior of the restrictions, inductions, Frobenius reciprocity in character theory of finite groups, we construct a framework of quiver representations of extended subgroup posets of finite groups. As applications, we provide a new congruence concerning character values, give an alternative proof of a known result, and also deal with two kinds of generalizations of Cartan matrices.
引用
收藏
页码：407 / 443
页数：37
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