Peter L. Guo

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20242026

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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…