Rational Catalan Numbers for Complex Reflection Groups (2310.12354v1)

Published 18 Oct 2023 in math.RT and math.CO

Abstract: Assuming standard conjectures, we show that the canonical symmetrizing trace evaluated at powers of a Coxeter element produces rational Catalan numbers for irreducible spetsial complex reflection groups. This extends a technique used by Galashin, Lam, Trinh, and Williams to uniformly prove the enumeration of their noncrossing Catalan objects for finite Coxeter groups.

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Authors (1)

Weston Miller

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