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arXiv · 2310.12354

Rational Catalan Numbers for Complex Reflection Groups

Weston Miller
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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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BibTeXRIS

Weston Miller. 2023-10-18. Rational Catalan Numbers for Complex Reflection Groups. https://doi.org/10.1016/j.jalgebra.2025.01.027

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