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math-ph2023
3D Boson representation of affine Yangian of 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…
math-ph2023
KP hierarchy, affine Yangian and algebra
Na Wang
3D (dimensional) Young diagrams are a generalization of 2D Young diagrams. We want to construct the structures on 3D Young diagrams paralleled to that on 2D Young diagrams. We have…
math-ph2023
3D Bosons and algebra
Na Wang, Ke Wu
In this paper, we consider 3D Young diagrams with at most layers in -axis direction, which can be constructed by 2D Young diagrams on slice , from…