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On the dimension of affine subspaces of nilpotent matrices

Published 8 Aug 2025 in math.RA | (2508.06653v1)

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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Authors (2)

  1. Simone Calamai 
  2. Elena Rubei 

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