Hurwitz numbers for reflection groups III: Uniform formulae
Abstract 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.
Authors
- Joel Brewster Lewis (ORCID: https://orcid.org/0000-0003-0205-8049)
- Theo Douvropoulos (ORCID: https://orcid.org/0000-0001-5553-6759)
- Alejandro H. Morales (ORCID: https://orcid.org/0000-0002-2848-3230)
Institutions
- Université du Québec à Montréal (CA)
- George Washington University (US)
- Brandeis University (US)
Publication Details
- Journal
- Journal of the London Mathematical Society
- Published
- 2025-03-01
- DOI
- https://doi.org/10.1112/jlms.70102
- Primary Topic
- Advanced Algebra and Geometry
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Science Foundation
- Simons Foundation
- Natural Sciences and Engineering Research Council of Canada