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math.RT2025
Semisimplifying categorical Heisenberg actions and periodic equivalences
Chris Hone, Finn Klein, Bregje Pauwels +3
We systematically apply semisimplification functors in modular representation theory. Motivated by the Duflo--Serganova functor in Lie superalgebras, we construct various functors…
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…