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The degenerate analogue of Ariki's categorification theorem

Representation Theory 2010-12-17 v1

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.

Keywords

Cite

@article{arxiv.0901.0057,
  title  = {The degenerate analogue of Ariki's categorification theorem},
  author = {Jonathan Brundan and Alexander Kleshchev},
  journal= {arXiv preprint arXiv:0901.0057},
  year   = {2010}
}

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44 pages