## A categorification of integral Specht modules

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- by Mikhail Khovanov, Volodymyr Mazorchuk and Catharina Stroppel PDF
- Proc. Amer. Math. Soc.
**136**(2008), 1163-1169 Request permission

## 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 $\mathfrak {sl}_n(\mathbb {C})$.## References

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## Additional Information

**Mikhail Khovanov**- Affiliation: Department of Mathematics, Columbia University, New York, New York
- MR Author ID: 363306
- Email: khovanov@math.columbia.edu
**Volodymyr Mazorchuk**- Affiliation: Department of Mathematics, Uppsala University, Uppsala, Sweden
- MR Author ID: 353912
- Email: mazor@math.uu.se
**Catharina Stroppel**- Affiliation: Department of Mathematics, University of Glasgow, Glasgow, United Kingdom
- Email: c.stroppel@maths.gla.ac.uk
- Received by editor(s): September 14, 2006
- Published electronically: December 18, 2007
- Additional Notes: The first author was partially supported by the NSF grant DMS-0407784.

The second author was supported by STINT, the Royal Swedish Academy of Sciences, the Swedish Research Council and the MPI in Bonn.

The third author was supported by EPSRC grant 32199 - Communicated by: Dan Barbasch
- © Copyright 2007 American Mathematical Society
- 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
- MathSciNet review: 2367090