%0 Journal Article
%T Polynomial functors and categorifications of Fock space
%A Jiuzu Hong
%A Antoine Touz¨¦
%A Oded Yacobi
%J Mathematics
%D 2011
%I arXiv
%X Fix an infinite field $k$ of characteristic $p$, and let $\g$ be the Kac-Moody algebra $\mathfrak{sl}_{\infty}$ if $p=0$ and $\hat{\mathfrak{sl}}_p$ otherwise. Let $\PP$ denote the category of strict polynomial functors defined over $k$. We describe a $\g$-action on $\PP$ (in the sense of Chuang and Rouquier) categorifying the Fock space representation of $\g$.
%U http://arxiv.org/abs/1111.5317v1