Clément de Seguins Pazzis

activity

20242026

collaborators

4 papers

math.RA2026

Sums of two nilpotent quaternionic matrices

ClÃ©ment de Seguins Pazzis

Let $Q$ be a quaternion division algebra over a field, and $n \geq 2$ be an integer. In a recent article, de la Cruz et al have proved that every $n$ -by- $n$ matrix with e…

math.RA2025

Spaces of triangularizable matrices (II): Finite fields with odd characteristic

ClÃ©ment de Seguins Pazzis

Let $F$ be a field. Denote by $t_{n} (F)$ the greatest possible dimension for a vector space of $n$ -by- $n$ matrices over $F$ in which every element is trian…

math.RA2024

We use a double-duality argument to give a new proof of DieudonnÃ©'s theorem on spaces of singular matrices. The argument connects the situation to the structure of spaces of opera…

math.RA2024

On affine spaces of rectangular matrices with constant rank

Let $F$ be a field, and $n \geq p \geq r > 0$ be integers. In a recent article, Rubei has determined, when $F$ is the field of real numbers, the greatest possible d…

Sums of two nilpotent quaternionic matrices

Spaces of triangularizable matrices (II): Finite fields with odd characteristic

A connection between Schur and DieudonnÃ©'s theorems on spaces of bounded rank matrices

On affine spaces of rectangular matrices with constant rank