Immanant varieties

被引：0

作者：

Bolognini, Davide ^{[1
]}

Sentinelli, Paolo ^{[2
]}

机构：

[1] Univ Politecn Marche, Dipartimento Ingn Ind & Sci Matemat, Ancona, Italy

[2] Politecn Milan, Dipartimento Matemat, Milan, Italy

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2024年 / 682卷

关键词：

Immanant; Matroid; Symmetric group; One-dimensional characters; Chow group;

D O I：

10.1016/j.laa.2023.11.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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://

引用

页码：164 / 190

页数：27

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