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(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).

(A) In this really stylish answer 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).

(A) In this really stylish answer 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).

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Bounty Ended with Robert Bryant's answer chosen by Tomasz Köner
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The Hypercomplex Structure of $SU(3)$

(A) In this really stylish answer 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).