Title: | Jordan structures of nilpotent matrices in the centralizer of a nilpotent matrix with two Jordan blocks of the same size |
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Authors: | ID Bogdanić, Duško (Author) ID Ðurić, Alen (Author) ID Koljančić, Sara (Author) ID Oblak, Polona (Author) ID Šivic, Klemen (Author) |
Files: | PDF - Presentation file, download (536,08 KB) MD5: C860E684503A8F10921504F7CA274AF6
URL - Source URL, visit https://www.sciencedirect.com/science/article/pii/S0024379524000910
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Language: | English |
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Typology: | 1.01 - Original Scientific Article |
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Organization: | IMFM - Institute of Mathematics, Physics, and Mechanics
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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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Keywords: | nilpotent matrix, centralizer, nilpotent orbit |
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Publication status: | Published |
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Publication version: | Version of Record |
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Publication date: | 01.06.2024 |
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Year of publishing: | 2024 |
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Number of pages: | str. 59-90 |
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Numbering: | Vol. 690 |
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PID: | 20.500.12556/DiRROS-18563 |
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UDC: | 512.64 |
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ISSN on article: | 0024-3795 |
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DOI: | 10.1016/j.laa.2024.03.008 |
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COBISS.SI-ID: | 190118403 |
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Note: |
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Publication date in DiRROS: | 26.03.2024 |
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Views: | 517 |
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Downloads: | 256 |
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