A categorification of integral Specht modules

Khovanov, Mikhail; Mazorchuk, Volodymyr; Stroppel, Catharina

doi:10.1090/S0002-9939-07-09124-1

A categorification of integral Specht modules

Authors: Mikhail Khovanov, Volodymyr Mazorchuk and Catharina Stroppel
Journal: Proc. Amer. Math. Soc. 136 (2008), 1163-1169
MSC (2000): Primary 17B10, 05E10, 20C08
DOI: https://doi.org/10.1090/S0002-9939-07-09124-1
Published electronically: December 18, 2007
MathSciNet review: 2367090
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Abstract: We suggest a simple definition for categorification of modules over rings and illustrate it by categorifying integral Specht modules over the symmetric group and its Hecke algebra via the action of translation functors on some subcategories of category $\mathcal{O}$ for the Lie algebra $\mathfrak{sl}_n(\mathbb{C})$ .

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