5 papers · 1 filter
Gradings on the Hecke category, and categorification with unequal parameters
Jonas Antor, Ben Elias
We classify gradings on the Hecke category that refine the standard integer grading. We also classify object-preserving autoequivalences of the Hecke category. We obtain a natural…
Idempotents, traces, and dimensions in Hecke categories
Ben Elias, Liam Rogel, Daniel Tubbenhauer
We explain how to compute idempotents that correspond to the indecomposable objects in the Hecke category. Closed formulas are provided for some common coefficients that appear in…
Drinfeld centralizers and Rouquier complexes
Ben Elias, Matthew Hogancamp
The Drinfeld centralizer of a monoidal category in a bimodule category is the category of objects in $\mathcal{M}…
Coxeter groups preserving orthants
Ben Elias
In this short, elementary note we prove that if a faithful reflection representation of a Coxeter group preserves an orthant, then that Coxeter group is a product of symmetric grou…
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…