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 ${\chi }_D(x)$ denote the dual character of the flagged Weyl module associated to $D$. It is known that ${\chi }_D(x)$ specifie…