Polynomial Representations and Categorifications of Fock Space |
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| Authors: | Jiuzu Hong Oded Yacobi |
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| Institution: | 1. School of Mathematical Sciences, Tel Aviv University, Tel Aviv, 69978, Israel
2. Department of Mathematics, University of Toronto, Bahen Centre, 40 St. George St., Toronto, ON, Canada, M5S 2E4
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| Abstract: | The rings of symmetric polynomials form an inverse system whose limit, the ring of symmetric functions, is the model for the bosonic Fock space representation of the affine Lie algebra. We show that this limit naturally carries an action of the affine Lie algebra (in the sense of Rouquier), thereby obtaining a family of categorifications of the bosonic Fock space representation. |
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