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 other classes of Chow varieties. For a one-dimensional character chi, we define chi-matroids by a maximality property. For trivial characters, by exploring the combinatorics of incidence stratifications, we provide a set of generators for the Chow vector spaces of the corresponding immanant varieties. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://
Immanant varieties
P. Sentinelli
2024-01-01
Abstract
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 other classes of Chow varieties. For a one-dimensional character chi, we define chi-matroids by a maximality property. For trivial characters, by exploring the combinatorics of incidence stratifications, we provide a set of generators for the Chow vector spaces of the corresponding immanant varieties. (c) 2023 The Author(s). Published by Elsevier Inc. This is an open access article under the CC BY license (http://File in questo prodotto:
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