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math.CO2022
Linear extensions and shelling orders
Davide Bolognini, Paolo Sentinelli
We prove that linear extensions of the Bruhat order of a matroid are shelling orders and that the barycentric subdivision of a matroid is a Coxeter matroid, viewing barycentric sub…
math.CO2022
Immanant varieties
Davide Bolognini, Paolo Sentinelli
We introduce immanant varieties, associated to simple characters of a finite group. They include well-studied classes of varieties, as Segre embeddings, Grassmannians and certain o…