Zhuowei Lin

activity

20232026

collaborators

4 papers

math.CO2026

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…

math.CO2024

Schubert polynomials and patterns in permutations

Peter L. Guo, Zhuowei Lin

This paper investigates the number of supports of the Schubert polynomial $S_{w} (x)$ indexed by a permutation $w$ . This number also equals the number of lattice points in…

math.CO2024

Zero-one dual characters of flagged Weyl modules

Peter L. Guo, Zhuowei Lin, Simon C. Y. Peng

We prove a criterion of when the dual character $χ_{D} (x)$ of the flagged Weyl module associated to a diagram $D$ in the grid $[n] \times [n]$ is zero-one, that is, the coefficients…

math.CO2023

Upper bounds of dual flagged Weyl characters

Zhuowei Lin, Simon C. Y. Peng, Sophie C. C. Sun

For a subset $D$ of boxes in an $n \times n$ square grid, let $χ_{D} (x)$ denote the dual character of the flagged Weyl module associated to $D$ . It is known that $χ_{D} (x)$ specifie…