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 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.

44 pages

References in corpus (3)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Derived equivalences for symmetric groups and sl\_2-categorification
• Highest weight categories arising from Khovanov's diagram algebra III: category O

Cited by in corpus (8)

• Blocks of cyclotomic Hecke algebras and Khovanov-Lauda algebras
• Graded decomposition numbers for cyclotomic Hecke algebras
• Highest weight categories arising from Khovanov's diagram algebra III: category O
• Degenerate cyclotomic Hecke algebras and higher level Heisenberg categorification
• Quiver Schur algebras for linear quivers
• Content systems and deformations of cyclotomic KLR algebras of type $A$ and $C$
• The Symbolic and cancellation-free formulae for Schur elements
• Representation Theory of Symmetric Groups and Related Hecke Algebras