Abstract
We construct actions of the affine Yangian of type A on higher level Fock spaces by extending known actions of the Yangian of finite type A due to Uglov. This is a degenerate analog of a result by Takemura–Uglov, which constructed actions of the quantum toroidal algebra on higher level q-deformed Fock spaces.
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KODERA, R. HIGHER LEVEL FOCK SPACES AND AFFINE YANGIAN. Transformation Groups 23, 939–962 (2018). https://doi.org/10.1007/s00031-018-9491-8
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DOI: https://doi.org/10.1007/s00031-018-9491-8