Cartan--Helgason theorem for quaternionic symmetric and twistor spaces

Clemens Weiske, Jun Yu, Genkai Zhang

Let $(\mathfrak{g},\mathfrak{k})$ be a complex quaternionic symmetric pair with $\mathfrak{k}$ having an ideal $\mathfrak{sl}(2,\mathbb{C})$, $\mathfrak{k}=\mathfrak{sl}(2, \math…