(A) In this really stylish answeranswer it is shown that one can define a family of complex structures $J_{\lambda}$ on the Lie group SU(3), dependent on the parameter $\lambda \in {\mathbb C}\backslash {\mathbb R}$.
(B) Wikipedia can tell us that $SU(3)$ has a hypercomplex structure.
I am searching a description of (B) using the language of (A).