反射群的Hurwitz数III：统一公式

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2025-03-01 DOI:10.1112/jlms.70102

Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales

引用次数: 0

摘要

推广了属0 Hurwitz数的公式，给出了Weyl群或复反射群中抛物型拟coxeter元的全反射分解数的统一公式。这篇论文是三篇系列文章的高潮。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Hurwitz numbers for reflection groups III: Uniform formulae

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Hurwitz numbers for reflection groups III: Uniform formulae

We give uniform formulae for the number of full reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the formula for the genus-0 Hurwitz numbers. This paper is the culmination of a series of three.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.