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math.GR2025
Representations of Coxeter groups over fusion rings and hyperplane complements
Edmund Heng, Luis Paris
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, whic…
math.GR2025
Normalisers of parabolic subgroups of Artin--Tits groups and Tits cone intersections
Owen Garnier, Edmund Heng, Anthony Licata +1
Let be a Coxeter diagram and let . Motivated by 3-fold flops, Iyama and Wemyss study the hyperplane arrangement in the Tits cone intersection of , which is a…
math.RT2025
Periodic elements in finite type Artin-Tits groups and stability conditions
Edmund Heng, Anthony M. Licata, Oded Yacobi
Periodic elements in finite type Artin--Tits groups are elements some positive power of which is central. We give a dynamical characterisation of periodic elements via their action…