Simon C. Y. Peng

activity

20192024

collaborators

3 papers

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…

math.CO2019

Lattice Points in the Newton Polytopes of Key Polynomials

Neil J. Y. Fan, Peter L. Guo, Simon C. Y. Peng +1

We confirm a conjecture of Monical, Tokcan and Yong on a characterization of the lattice points in the Newton polytopes of key polynomials.