A complex Lie group may have several real forms. Are there any duality/trinity... between them? Maybe a trivial question to ask, is $SL(3,\mathbb{C})$ a real form of $SL(3,\mathbb{C})\times SL(3,\mathbb{C})$ ?
Post Closed as "Needs details or clarity" by YCor, Jim Humphreys, Stefan Kohl♦, John Pardon, S. Carnahan♦