In the present paper the author gives a complete classification of complex forms \(L/V\) of quaternionic symmetric spaces \(G/K\). The case where \(G\) is a classical group and \(\text{rank} (L)= \text{rank} (G)\) follows from the matrix considerations. The computer program LiE is used for the exceptional groups. Some examples of its applications show that the complexifications \(L_ {\mathbb C}\) and \(K_ {\mathbb C}\) are conjugate in \(G_ {\mathbb C}\). They fill the cases for \(G\) exceptional and \(\text{rank} (L)= \text{rank} (G)\), and the remaining exceptional equal rank cases are worked out in the subsequent section. Finally, the cases when \(\text{rank} (L)< \text{rank} (G)\) are considered.
For the entire collection see [Zbl 1062.53001].