On the dimension of affine subspaces of nilpotent matrices
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916919013015552 |
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| author | Calamai, Simone Rubei, Elena |
| author_facet | Calamai, Simone Rubei, Elena |
| contents | The focus of the paper is on the maximal dimension of affine subspaces of nilpotent $n \times n $ matrices with fixed rank. In particular we obtain two results in the "border" cases rank equal to $n-1$ and rank equal to $1$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_06653 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the dimension of affine subspaces of nilpotent matrices Calamai, Simone Rubei, Elena Rings and Algebras 15A30 The focus of the paper is on the maximal dimension of affine subspaces of nilpotent $n \times n $ matrices with fixed rank. In particular we obtain two results in the "border" cases rank equal to $n-1$ and rank equal to $1$. |
| title | On the dimension of affine subspaces of nilpotent matrices |
| topic | Rings and Algebras 15A30 |
| url | https://arxiv.org/abs/2508.06653 |