3 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 indexed by a permutation . 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 of the flagged Weyl module associated to a diagram in the grid is zero-one, that is, the coefficients…