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

页码：245 / 266

页数：22

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