Clément de Seguins Pazzis

activity

20102026

most citedThe space of all p-th roots of a nilpotent complex matrix is path-connected

1 citations · 1 across the 18 of their papers we have counts for

collaborators

18 papers

math.RA2026

Large affine spaces of symplectic forms

Clément de Seguins Pazzis

Let F be a field and V be a 2n-dimensional vector space over F. In a previous article, we have proved that if F has more than 2n-2 elements then the greatest possible dimension for…

math.RA2025

Affine subspaces of units in simple algebras

Clément de Seguins Pazzis

Let $A$ be a simple algebra over a field $F$ . Under a mild cardinality assumption on $F$ , we determine the greatest possible dimension for an $F$ -affine subspace of $A$ that is inc…

math.FA2025

A Convex-Analytical Proof of the Fundamental Theorem of Algebra

Clément de Seguins Pazzis

A weak version of Birkhoff's generalization of the Perron-Frobenius theorem states that every endomorphism of a finite-dimensional real vector that leaves invariant a non-degenerat…

math.RA2025

The Free Hamilton Algebra

Clément de Seguins Pazzis

Over an arbitrary field $F$ , let $p$ and $q$ be monic polynomials with degree $2$ in $F [t]$ . The free Hamilton algebra of the pair $(p, q)$ is the free noncommutat…

math.RA2024

Spaces of triangularizable matrices

Clément de Seguins Pazzis

Let F be a field. We investigate the greatest possible dimension t_n(F) for a vector space of n-by-n matrices with entries in F and in which every element is triangularizable over…

math.GR2024

Products of involutions in symplectic groups over general fields (II)

Clément de Seguins Pazzis

Let $s$ be an $n$ -dimensional symplectic form over a field $F$ of characteristic other than $2$ , with $n > 2$ . In a previous article, we have proved that if $F$ is…