Work

Hurwitz Actions on Reflection Factorizations in Complex Reflection Group $G_6$

Year: 2020

Type: preprint

Abstract: We show that in the complex reflection group $G_6$, reflection factorizations of a Coxeter element that have the same length and multiset of conjugacy classes are in the same Hurwitz orbit. This confirms one case of a conjecture of Lewis and Reiner.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2002.05102

Authors: Gawankar, Gaurav, Lazreq, Dounia, Rai, Mehr, Sabar, Seth

Institution: George Washington University

Language: English

Topic: Geometric and Algebraic Topology

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W3005709681

Cites: 6

Cited by: 3

Related to: 20