Order antimorphisms of finite-dimensional cones

Cormac Walsh (1, 2)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 TROPICAL - TROPICAL

We show that an order antimorphism on a finite-dimensional cone having no one-dimensional factors is homogeneous of degree −1. A consequence is that the existence of an order antimorphism on a finite-dimensional cone implies that the cone is a symmetric cone.

Domaines: Mathématiques [math]

Cormac Walsh. Order antimorphisms of finite-dimensional cones . Selecta Mathematica (New Series), 2020, 26 (4), paper number 53. ⟨hal-01673777v2⟩