Iv'an Rey

collaborators

2 papers

math.DG2025

Lie groups with a bi-invariant distance

Gabriel Larotonda, Iván Rey

We show that a Lie group $G$ admitting a bi-invariant distance must be the product $G = H \times K$ of an abelian group $H$ and a compact group $K$ with discrete center. Moreover, the…

math.MG2023

Weakly invariant norms: geometry of spheres in the space of skew-Hermitian matrices

Gabriel Larotonda, Iván Rey

Let $N$ be a weakly unitarily invariant norm (i.e. invariant for the coadjoint action of the unitary group) in the space of skew-Hermitian matrices $u_{n} (C)$ . In…