Séminaire Lotharingien de Combinatoire, 85B.66 (2021), 12 pp.

Theo Douvropoulos, Joel Brewster Lewis and Alejandro H. Morales

Hurwitz Numbers for Reflection Groups

Abstract. We give formulas for the number of transitive reflection factorizations of a parabolic quasi-Coxeter element in a Weyl group or complex reflection group, generalizing the Hurwitz formulas for the symmetric group.

Received: December 1, 2020. Accepted: March 1, 2021. Final version: April 29, 2021.

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