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
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by Mikhail Khovanov, Volodymyr Mazorchuk and Catharina Stroppel

Proc. Amer. Math. Soc. 136 (2008), 1163-1169

DOI: https://doi.org/10.1090/S0002-9939-07-09124-1

Published electronically: December 18, 2007

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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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