作为置换表示的矩阵的周环

IF 1 2区数学 Q1 MATHEMATICS

Journal of the London Mathematical Society-Second Series Pub Date : 2024-12-14 DOI:10.1112/jlms.70039

Robert Angarone, Anastasia Nathanson, Victor Reiner

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引用次数: 0

摘要

给定一个具有对称群的拟阵，研究了关于对称建筑集的拟阵上Chow环的诱导群作用。这是一种排列行为。Adiprasito， Huh和Katz的工作证明了Chow环满足poincar对偶性和Hard Lefschetz定理。我们将这些提升为关于这种排列作用的陈述，并在这方面提出进一步的推测。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Chow rings of matroids as permutation representations

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Chow rings of matroids as permutation representations

Given a matroid with a symmetry group, we study the induced group action on the Chow ring of the matroid with respect to symmetric building sets. This turns out to always be a permutation action. Work of Adiprasito, Huh and Katz showed that the Chow ring satisfies Poincaré duality and the Hard Lefschetz theorem. We lift these to statements about this permutation action, and suggest further conjectures in this vein.

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来源期刊

Journal of the London Mathematical Society-Second Series 数学-数学

CiteScore

1.90

自引率

0.00%

发文量

186

审稿时长

6-12 weeks

期刊介绍： The Journal of the London Mathematical Society has been publishing leading research in a broad range of mathematical subject areas since 1926. The Journal welcomes papers on subjects of general interest that represent a significant advance in mathematical knowledge, as well as submissions that are deemed to stimulate new interest and research activity.