Polynomial functors and categorifications of Fock space

Details Polynomial functors and categorifications of Fock space Polynomial functors and categorifications of Fock space

2011-11-22

arxiv.org/abs/1111.5317v1

Mathematics

Representation Theory

23 pages

Scientific paper

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 $\g$.

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