Remark 1.12. We will not return to specific applications to representation theory in this paper, but the interested reader will find further results along these lines in the paper [BN2] which studies integral transforms in the context of -modules. It includes applications to the more familiar Hecke categories of -modules on flag varieties. In particular, their Drinfeld centers are identified with character sheaves on , resulting in a Langlands duality for character sheaves.
Original source: arXiv:0805.0157v5