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On the dimension of affine subspaces of nilpotent matrices (2508.06653v1)
Published 8 Aug 2025 in math.RA
Abstract: 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 $1$.
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