Clément de Seguins Pazzis

collaborators

3 papers

math.RA2026

Spaces of matrices with few eigenvalues (II)

Let $F$ be a field, and $M$ be a linear subspace of $n$ -by- $n$ matrices with entries in $F$ that have at most two eigenvalues in $F$ (respectively, at most one non-zero e…

math.RA2023

On affine spaces of alternating matrices with constant rank

Clément de Seguins Pazzis

Let $F$ be a field, and $n \geq r > 0$ be integers, with $r$ even. Denote by $A_{n} (F)$ the space of all $n$ -by- $n$ alternating matrices with entries in $\ma…

math.RT2023

Products of unipotent elements of index $2$ in orthogonal and symplectic groups

Clément de Seguins Pazzis

An automorphism $u$ of a vector space is called unipotent of index $2$ whenever $(u - id)^{2} = 0$ . Let $b$ be a non-degenerate symmetric or skewsymmetric bilinear form on a vec…

Spaces of matrices with few eigenvalues (II)

On affine spaces of alternating matrices with constant rank

Products of unipotent elements of index 2 in orthogonal and symplectic groups

Products of unipotent elements of index $2$ in orthogonal and symplectic groups