Polynomial functors and categorifications of Fock space

2011/11/22 by Hong, Jiuzu, Touzé, Antoine, Yacobi, Oded · 1 citation
#Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1111.5317

Abstract

Fix an infinite field k of characteristic p, and let \g be the Kac-Moody algebra \mathfraksl_∞ if p=0 and \mathfraksl_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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