On the dimension of affine subspaces of nilpotent matrices

Linear Algebra and its Applications 2026 Open access

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Authors: Simone Calamai, Elena Rubei
DOI: 10.1016/j.laa.2026.08.015
Cited by: 0

Abstract

The focus of the paper is on the maximal dimension of affine subspaces of nilpotent n x n matrices with fixed rank. In particular we obtain a result in the "border" case rank equal to n-1; we also consider the much simpler case rank equal to 1.

Fields of Study & Subjects

Advanced Topics in Algebra Matrix Theory and Algorithms Tensor decomposition and applications

Publication details

Journal / source
Linear Algebra and its Applications
Volume
752
Pages
152–170
Publication date
14 August 2026
Language
EN