A categorification of integral Specht modules

Details A categorification of integral Specht modules A categorification of integral Specht modules

2006-07-25

arxiv.org/abs/math/0607630v1

Proc. AMS 136 (2008), 1163-1169.

Mathematics

Representation Theory

Scientific paper

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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