Hsin-Chieh Liao

collaborators

3 papers

math.CO2024

Equivariant gamma-positivity of matroid Chow rings

Hsin-Chieh Liao

In this paper, we prove that the Chow ring and augmented Chow ring of a matroid are equivariantly $γ$ -positive under the action of any group of automorphisms. Our approach provides…

math.CO2024

Chow rings and augmented Chow rings of uniform matroids and their $q$ -analogs

Hsin-Chieh Liao

We study the Hilbert series and the representations of $S_{n}$ and $G L_{n} (F_{q})$ on the (augmented) Chow rings of uniform matroids $U_{r, n}$ and $q$ -uniform matroid…

math.CO2017

Folding Phenomenon of Major-balance Identities on Restricted Involutions

Tung-Shan Fu, Hsian-Chun Hsu, Hsin-Chieh Liao

In this paper we prove a refined major-balance identity on the $321$ -avoiding involutions of length $n$ , respecting the leading element of permutations. The proof is based on a sig…

Equivariant gamma-positivity of matroid Chow rings

Chow rings and augmented Chow rings of uniform matroids and their q-analogs

Folding Phenomenon of Major-balance Identities on Restricted Involutions

Chow rings and augmented Chow rings of uniform matroids and their $q$ -analogs