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math.CO2022
Degrees of the stretched Kostka quasi-polynomials
Shiliang Gao, Yibo Gao
We provide a type-uniform formula for the degree of the stretched Kostka quasi-polynomial in all classical types, improving a previous result by McAllister in $\mathfr…
math.CO2022
Balanced shifted tableaux
Jiyang Gao, Shiliang Gao, Yibo Gao
We introduce balanced shifted tableaux, as an analogue of balanced tableaux of Edelman and Greene, from the perspective of root systems of type B and C. We show that they are equin…
math.CO2022
Minimal equations for matrix Schubert varieties
Shiliang Gao, Alexander Yong
Explicit minimal generators for Fulton's Schubert determinantal ideals are determined along with some implications.