论文标题

尼尔植物矩阵的jordan结构,在一个尼尔植物矩阵的中心化合物中,有两个相同大小的约旦块

Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size

论文作者

Bogdanić, Duško, Đurić, Alen, Koljančić, Sara, Oblak, Polona, Šivic, Klemen

论文摘要

在本文中,我们表征了在动作下的所有nilpotent Orbits通过共轭相交的nilpotent centralizer的nilpotent矩阵$ b $的nilpotent centralizer,该矩阵由两个相同大小的jordan块组成。我们通过表征相应的分区来列出Nilpotent矩阵的所有可能的Jordan规范形式。

In this paper we characterize all nilpotent orbits under the action by conjugation that intersect the nilpotent centralizer of a nilpotent matrix $B$ consisting of two Jordan blocks of the same size. We list all the possible Jordan canonical forms of the nilpotent matrices that commute with $B$ by characterizing the corresponding partitions.

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