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Springer Verlag, Progress in mathematics, p. 327-352, 2014

DOI: 10.1007/978-1-4939-1590-3_12

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Polynomial functors and categorifications of Fock space

Journal article published in 2014 by Jiuzu Hong, Antoine Touze, Oded Yacobi
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Fix an infinite field $k$ of characteristic $p$, and let $\g$ be the Kac-Moody algebra $\mathfrak{sl}_{∞}$ 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 $\g$. ; Comment: 23 pages