3 citations · 8 across the 9 of their papers we have counts for
9 papers
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…
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…
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.
Newell-Littlewood numbers III: eigencones and GIT-semigroups
Shiliang Gao, Gidon Orelowitz, Nicolas Ressayre +1
The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for the classical groups in the stable range. Littlewood-Richardson coefficients form a special case…
The Kostka semigroup and its Hilbert basis
Shiliang Gao, Joshua Kiers, Gidon Orelowitz +1
The Kostka semigroup consists of pairs of partitions with at most r parts that have positive Kostka coefficient. For this semigroup, Hilbert basis membership is an NP-complete prob…
Multiplicity-free skew Schur polynomials
Shiliang Gao, Reuven Hodges, Gidon Orelowitz
We provide a non-recursive, combinatorial classification of multiplicity-free skew Schur polynomials. These polynomials are , and , characters of the skew Schur modules…
Newell-Littlewood numbers II: extended Horn inequalities
Shiliang Gao, Gidon Orelowitz, Alexander Yong
The Newell-Littlewood numbers are tensor product multiplicities of Weyl modules for classical Lie groups, in the stable limit. For which triples of partitions …
Newell-Littlewood numbers
Shiliang Gao, Gidon Orelowitz, Alexander Yong
The Newell-Littlewood numbers are defined in terms of their celebrated cousins, the Littlewood-Richardson coefficients. Both arise as tensor product multiplicities for a classical…
The and properties in families of fat sets in the plane
Shiliang Gao, Shira Zerbib
A family of sets satisfies the property if among every members of it some intersect. Given a number , a set is called -fat if t…