Derived equivalences for symmetric groups and sl(2)-categorification

We define and study sl2-categorifications on abelian categories. We show in particular that there is a self-derived (even homotopy) equivalence cate-gorifying the adjoint action of the simple reflection. We construct categorifica-tions for blocks of symmetric groups and deduce that two blocks are sp...

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Bibliographic Details
Main Authors: Chuang, J, Rouquier, R
Format: Journal article
Language:English
Published: 2008