2 citations · 6 across the 14 of their papers we have counts for
16 papers
Rigid and -locally free modules via Taft algebras
Edmund Heng, Calvin Pfeifer
We show that rigid modules are -locally free for a large family of 1-Iwanaga--Gorenstein algebras. This family includes many cases of the algebras introduced by Geiss--Leclerc--…
A subcategory with remarkable homological properties via actions of tensor categories
Kevin Coulembier, Edmund Heng
By equipping the category of modules over a finite dimensional algebra with the action of a finite tensor category , we introduce a subcategory $\mathcal…
Algebras in fusion categories: species and hereditary algebras
Edmund Heng, Mateusz Stroiński
We initiate the study of non-semisimple algebras in fusion categories by establishing the framework of -species -- analogous to the framework of species and quivers us…
Coxeter planes as fixed points of Verlinde fusion rings
Max Boyle, Edmund Heng
For the Coxeter groups of ADE type, we provide a construction of their Coxeter planes as fixed points of actions of hypergroups associated to Verlinde fusion rings. This builds upo…
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…
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…
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…
Stability conditions and Artin--Tits groups
Edmund Heng, Anthony M. Licata
We describe spaces of Bridgeland stability conditions on certain triangulated categories associated to Coxeter systems. These categories are defined algebraically using the categor…
Introduction to stability conditions and its relation to the conjecture for Artin groups
Edmund Heng
We give a brief introduction to the relationship between Bridgeland stability conditions and the conjecture for Artin groups. These notes have been written as pre-reading…
Classification of finite type fusion quivers
Ben Elias, Edmund Heng
In recent work, the second author introduced the concept of Coxeter quivers, generalizing several previous notions of a quiver representation. Finite type Coxeter quivers were clas…
Coxeter embeddings are injective
Ben Elias, Edmund Heng
We show that certain embeddings of Coxeter groups within other Coxeter groups are injective using the notion of Coxeter partitions. Moreover, we study Lusztig's partitions, which a…
Fusion-equivariant stability conditions and Morita duality
Hannah Dell, Edmund Heng, Anthony M. Licata
Given a triangulated category with an action of a fusion category , we study the moduli space of fusion-equivariant Bridgeland stability conditions on . The…
Categorification and Dynamics in Generalised Braid Groups
Edmund Heng
Recent developments in the theory of stability conditions and its relation to Teichmuller theory have revealed a deep connection between triangulated categories and surfaces. Motiv…
Faithfulness of the 2-Braid Group via Zigzag Algebra in Type B
Edmund Heng, Kie Seng Nge
We show that certain category of bimodules over a finite dimensional quiver algebra known as type B zigzag algebra is a quotient category of the category of type B Soergel bimodule…
Coxeter quiver representations in fusion categories and Gabriel's theorem
Edmund Heng
We introduce a notion of representation for a class of generalised quivers known as Coxeter quivers. These representations are built using fusion categories associated to $U_q(\mat…
Curves in the disc, the type B braid group, and the type B zigzag algebra
Edmund Heng, Kie Seng Nge
We construct a finite dimensional quiver algebra from the non-simply laced type Dynkin diagram, which we call the type zigzag algebra. This leads to a faithful categorical…