Describe the Lie algebra of SL n (H) for H=Quaternion group

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enter image description here (in the image there us an explaintion about SLn(H) Describe the Lie algebra of SL_n(H) for H=Quaternion group, meaning H is the group of {1,i,j,k} that: ij=k, jk=i, ki=j, ji=-k, kj=-i, ik=-j