On Hecke and asymptotic categories for a family of complex reflection groups

Abel Lacabanne; Daniel Tubbenhauer; Pedro Vaz

doi:10.4171/pm/2152

JournalspmVol. 83, No. 1/2pp. 35–105

On Hecke and asymptotic categories for a family of complex reflection groups

Abel Lacabanne
Université Clermont Auvergne, Aubière, France
Daniel Tubbenhauer
The University of Sydney, Australia
Pedro Vaz
Université catholique de Louvain, Louvain-la-Neuve, Belgium

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Abstract

Generalizing the dihedral picture for $G (M, M, 2)$ , we construct Hecke algebras (and present a strategy for constructing Hecke categories) and asymptotic counterparts. We think of these as associated with the complex reflection group $G (M, M, N)$ .

Cite this article

Abel Lacabanne, Daniel Tubbenhauer, Pedro Vaz, On Hecke and asymptotic categories for a family of complex reflection groups. Port. Math. 83 (2026), no. 1/2, pp. 35–105

DOI 10.4171/PM/2152