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math.CO2023
Hurwitz numbers for reflection groups III: Uniform formulas
Theo Douvropoulos, Joel Brewster Lewis, Alejandro H. Morales
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…
math.CO2023
Two classes of posets with real-rooted chain polynomials
Christos A. Athanasiadis, Theo Douvropoulos, Katerina Kalampogia-Evangelinou
The coefficients of the chain polynomial of a finite poset enumerate chains in the poset by their number of elements. It has been a challenging open problem to determine which pose…