Hook formula for Coxeter groups via the twisted group ring

被引：0

作者：

Mihalcea, Leonardo C. ^{[1
]}

Naruse, Hiroshi ^{[2
]}

Su, Changjian ^{[3
]}

机构：

[1] Virginia Tech Univ, Dept Math, Blacksburg, VA 24061 USA

[2] Univ Yamanashi, Grad Sch Educ, 4-4-37 Takeda, Kofu, Yamanashi 4008510, Japan

[3] Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China

来源：

PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES | 2024年 / 100卷 / 06期

关键词：

Hook formula; Coxeter group; Kostant and Kumar's twisted group ring;

D O I：

10.3792/pjaa.100.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We use Kostant and Kumar's twisted group ring and its dual to formulate and prove a generalization of Nakada's colored hook formula for any Coxeter groups. For dominant minuscule elements of the Weyl group of a Kac-Moody algebra, this provides another short proof of Nakada's colored hook formula.

引用

页码：31 / 36

页数：6