A natural idempotent in the descent algebra of a finite Coxeter group

被引：0
作者：
Renteln, Paul [1 ]
机构：
[1] Calif State Univ, Dept Phys, San Bernardino, CA 92407 USA
来源：
ALGEBRAIC COMBINATORICS | 2023年 / 6卷 / 05期
关键词：
Coxeter group; reflection representation; permutation representation; descents; descent algebra; idempotents; central limit theorems; INVERSION NUMBER; MAJOR INDEX; THEOREM; PROOF;
D O I：
10.5802/alco.310
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a natural idempotent in the descent algebra of a finite Coxeter group. The proof is uniform (independent of the classification). This leads to a simple determination of the spectrum of a natural matrix related to descents. Other applications are discussed.
引用
收藏
页码：1177 / 1188
页数：13
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