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arXiv · 2211.11634

Immanant varieties

Davide Bolognini·Paolo Sentinelli
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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 $χ$, we define $χ$-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.

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Davide Bolognini, Paolo Sentinelli. 2023-10-11. Immanant varieties. https://arxiv.org/abs/2211.11634

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