3D Boson representation of affine Yangian of $\mathfrak{gl}(1)$ and 3D cut-and-join operators

Na Wang, Can Zhang, Ke Wu

We have constructed 3D Bosons. In this paper, we show the 3D Bosonic Fock space, which is isomorphic to the vector space of 3D Young diagrams as graded vector spaces. We use 3D Bos…