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arXiv · 2212.08425

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

Duško Bogdanić·Alen Đurić·Sara Koljančić·Polona Oblak·Klemen Šivic
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Abstract

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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Duško Bogdanić, Alen Đurić, Sara Koljančić, Polona Oblak, Klemen Šivic. 2022-12-16. Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size. https://arxiv.org/abs/2212.08425

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