| 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) |
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| 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: | 100 |
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| Downloads: | 52 |
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| Metadata: |     |
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