The degenerate analogue of Ariki's categorification theorem

Details The degenerate analogue of Ariki's categorification theorem The degenerate analogue of Ariki's categorification theorem

2008-12-31

arxiv.org/abs/0901.0057v1

Math. Z. 266 (2010), 877-919

Mathematics

Representation Theory

44 pages

Scientific paper

10.1007/s00209-009-0603-y

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.

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