The degenerate analogue of Ariki’s categorification theorem

Abstract

We explain how to deduce the degenerate analogue of Ariki’s categorification theorem over the ground field \({\mathbb{C}}\) as an application of Schur–Weyl duality for higher levels and the Kazhdan–Lusztig conjecture in finite type A. We also discuss some supplementary topics, including Young modules, tensoring with sign, tilting modules and Ringel duality.