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

Data

Title: On Hecke and asymptotic categories for a family of complex reflection groups
Authors: Abel Lacabanne, Daniel Tubbenhauer and Pedro Vaz
arXiv link: https://arxiv.org/abs/2409.01005
Published in: Portugaliae Mathematica 83 (2026), No. 1/2, 35–105
DOI: 10.4171/PM/2152

Abstract

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

Citation

@article {MR5032312,
    AUTHOR = {Lacabanne, Abel and Tubbenhauer, Daniel and Vaz, Pedro},
     TITLE = {On {H}ecke and asymptotic categories for a family of complex
              reflection groups},
   JOURNAL = {Port. Math.},
  FJOURNAL = {Portugaliae Mathematica. A Journal of the Portuguese
              Mathematical Society},
    VOLUME = {83},
      YEAR = {2026},
    NUMBER = {1-2},
     PAGES = {35--105},
      ISSN = {0032-5155,1662-2758},
   MRCLASS = {20F55 (17B37 20C08)},
  MRNUMBER = {5032312},
       DOI = {10.4171/pm/2152},
       URL = {https://doi-org.ezproxy.uca.fr/10.4171/pm/2152},
}