Higher level Fock spaces and affine Yangian
arXiv:1607.03237
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 -deformed Fock spaces.
22 pages