Automorphism group schemes of special simple Jordan pairs of types I and IV

Abstract

In this work, the automorphism group schemes of finite-dimensional simple Jordan pairs of types I and IV, and of some Jordan triple systems related to them, are determined. We assume $\mathrm{char}(\mathbb{F})\ne 2$ for the base field $\mathbb{F}$.

14 pages. To appear in J. Algebra