4 papers
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…
Jack polynomials, -dependent KP hierarchy and affine Yangian of
Na Wang, Can Zhang, Ke Wu
In this paper, we discuss the relations between the Jack polynomials, -dependent KP hierarchy and affine Yangian of . We find that and $h_1=\…
A planar network proof for Hankel total positivity of type Narayana polynomials
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
The Hankel matrix of type B Narayana polynomials was proved to be totally positive by Wang and Zhu, and independently by Sokal. Pan and Zeng raised the problem of giving a planar n…
Immanant Positivity for Catalan-Stieltjes Matrices
Ethan Y. H. Li, Grace M. X. Li, Arthur L. B. Yang +1
In this paper we give some sufficient conditions for the nonnegativity of immanants of square submatrices of Catalan-Stieltjes matrices and their corresponding Hankel matrices. To…