On Hecke and asymptotic categories for a family of complex reflection groups
Representation Theory
2026-04-28 v2 Category Theory
Quantum Algebra
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
@article{arxiv.2409.01005,
title = {On Hecke and asymptotic categories for a family of complex reflection groups},
author = {Abel Lacabanne and Daniel Tubbenhauer and Pedro Vaz},
journal= {arXiv preprint arXiv:2409.01005},
year = {2026}
}
Comments
39 pages, many figures, comments welcome