On enumerating factorizations in reflection groups

被引：5
|
作者：
Douvropoulos, Theo [1 ]
机构：
[1] Univ Massachussets Amherst, Dept Math & Stat, Amherst, MA 01003 USA
来源：
ALGEBRAIC COMBINATORICS | 2023年 / 6卷 / 02期
基金：
欧洲研究理事会;
关键词：
factorization enumeration; full twist; regular elements; Frobenius lemma; PRODUCTS; ELEMENTS; CHEVIE;
D O I：
10.5802/alco.261
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We describe an approach, via Malle's permutation Psi on the set of irreducible characters Irr(W) of a reflection group W, that gives a uniform derivation of the Chapuy-Stump formula for the enumeration of reflection factorizations of a Coxeter element c is an element of W. It also recovers its weighted generalization by delMas, Reiner, and Hameister, and further produces structural results for factorization formulas of arbitrary regular elements.
引用
收藏
页码：359 / 385
页数：28
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