22 citations · 37 across the 13 of their papers we have counts for
9 papers · 1 filter
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…
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…
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…
Symmetric deformed 2D/3D Hurwitz-Kontsevich model and affine Yangian of gl(1)
Na Wang, Ke Wu
Since the (-deformed) Hurwitz Kontsevich model corresponds to the special case of affine Yangian of . In this paper, we construct two general cases of the $β…
Algebraic formulas for the structure constants in symmetric functions
Na Wang, Ke Wu
Littlewood-Richardson rule gives the decomposition formula for the multiplication of two Schur functions, while the decomposition formula for the multiplication of two Hall-Littlew…
Coupled Hall-Littlewood functions, vertex operators and the -boson model
Na Wang, Chuanzhong Li
In this paper, we firstly give the definition of the coupled Hall-Littlewood function and its realization in terms of vertex operators. Then we construct the representation of the…
Universal Character, Phase Model and Topological Strings on
Na Wang, Chuanzhong Li
In this paper, we consider two different subjects: the algebra of universal characters (a generalization of Schur functions) and the phase model of str…
A Note On Heisenberg Categorification
Na Wang, Zhixi Wang, Ke Wu +2
A categorification of the Heisenberg algebra is constructed in by Khovanov using graphical calculus, and left with a conjecture on the isomorphism between the Heisenberg algebra an…
Categorification of the Heisenberg algebra and MacMahon function
Na Wang, Zhixi Wang, Ke Wu +2
Starting from a one dimensional vector space, we construct a categorification of a deformed Heiserberg algebra by Cautis and Licata's method. The Grothendieck ri…