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A categorification of integral Specht modules

Mikhail Khovanov·Volodymyr Mazorchuk·Catharina Stroppel
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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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Mikhail Khovanov, Volodymyr Mazorchuk, Catharina Stroppel. 2006-07-25. A categorification of integral Specht modules. https://arxiv.org/abs/math/0607630

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