Holomorphic imbeddings of symmetric domains

Abstract

On the other hand, there is the uniquely determined element $H_{0}$ (resp. $H_{0}^{\prime}$ ) in the center of $f$ (resp. $f^{\prime}$ ) such that (4) $I=ad(H_{0})$ on $\mathfrak{p}$ , $I^{\prime}=ad(H_{0}^{\prime})$ on $\mathfrak{p}^{\gamma}$ .