Orthogonal involutions on central simple algebras and function fields of Severi-Brauer varieties

Anne Quéguiner-Mathieu, Jean-Pierre Tignol

An orthogonal involution $\sigma$ on a central simple algebra $A$, after scalar extension to the function field $\mathcal{F}(A)$ of the Severi--Brauer variety of $A$, is adjoint to a qu…