Hurwitz numbers for reflection groups III: Uniform formulas

التفاصيل البيبلوغرافية
العنوان: Hurwitz numbers for reflection groups III: Uniform formulas
المؤلفون: Douvropoulos, Theo, Lewis, Joel Brewster, Morales, Alejandro H.
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Combinatorics, Mathematics - Group Theory, 05Axx, 20F55
الوصف: We give uniform formulas 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.
Comment: 36 pages, comments very much welcome!
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2308.04751
رقم الأكسشن: edsarx.2308.04751
قاعدة البيانات: arXiv