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

页码：407 / 443

页数：37

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