Categorification of a parabolic Hecke module via sheaves on moment graphs
Categorification of a parabolic Hecke module via sheaves on moment graphs
We investigate certain categories, associated by Fiebig with the geometric representation of a Coxeter system, via sheaves on Bruhat graphs.We modify Fiebig's definition of translation functors in order to extend it to the singular setting and use it to categorify a parabolic Hecke module.As an application we obtain a combinatorial …