Polynomiality of factorizations in reflection groups

被引：1
|
作者：
Polak, Elzbieta [1 ,2 ]
Ross, Dustin [1 ,2 ]
机构：
[1] Univ Texas Austin, Dept Math, Austin, TX 78712 USA
[2] San Francisco State Univ, Dept Math, San Francisco, CA 94132 USA
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2023年 / 75卷 / 01期
基金：
美国国家科学基金会;
关键词：
Reflection groups; factorizations; ELSV formula; polynomiality; PRODUCTS;
D O I：
10.4153/S0008414X21000663
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the number of ways of factoring elements in the complex reflection groups G(r, s, n) as products of reflections. We prove a result that compares factorization numbers in G(r, s, n) to those in the symmetric group S-n, and we use this comparison, along with the Ekedahl, Lando, Shapiro, and Vainshtein (ELSV) formula, to deduce a polynomial structure for factorizations in G(r, s, n).
引用
收藏
页码：245 / 266
页数：22
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