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A categorification of integral Specht modules
Authors:Mikhail Khovanov   Volodymyr Mazorchuk   Catharina Stroppel
Affiliation:Department of Mathematics, Columbia University, New York, New York ; Department of Mathematics, Uppsala University, Uppsala, Sweden ; Department of Mathematics, University of Glasgow, Glasgow, United Kingdom
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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