Representations of Coxeter groups over fusion rings and hyperplane complements
Group Theory
2025-11-10 v1 Geometric Topology
Quantum Algebra
Representation Theory
Abstract
We study faithful realisations of Coxeter groups over fusion rings and study Vinberg systems associated to them. We show that they induce embeddings of hyperplane complements, which provide geometrical realisations of certain types of strong admissible (LCM) homomorphisms between Artin--Tits groups.
Keywords
Cite
@article{arxiv.2511.04836,
title = {Representations of Coxeter groups over fusion rings and hyperplane complements},
author = {Edmund Heng and Luis Paris},
journal= {arXiv preprint arXiv:2511.04836},
year = {2025}
}
Comments
Comments are more than welcomed!