4 papers
Lower and upper bounds of Schur characters
Zhuowei Lin, Candice X. T. Zhang, Zhong-Xue Zhang
Characterizations of lower and upper bounds for dual characters of flagged Weyl modules have attracted considerable interest. In this paper, we establish explicit pattern avoidance…
Newton polytopes of immanants of some combinatorial matrices
Candice X. T. Zhang
The immanants of combinatorial matrices have many significant properties, including m-positivity and Schur positivity. While the immanants of Jacobi-Trudi matrices are known to be…
Newton polytopes of dual -Schur polynomials
Bo Wang, Candice X. T. Zhang, Zhong-Xue Zhang
Rado's theorem about permutahedra and dominance order on partitions reveals that each Schur polynomial is M-convex, or equivalently, it has a saturated Newton polytope and this pol…
Interlacing property of a family of generating polynomials over Dyck paths
Bo Wang, Candice X. T. Zhang
In the study of a tantalizing symmetry on Catalan objects, Bóna et al. introduced a family of polynomials defined by \begin{align*} W_{n,k}(x)=\sum…