On Maps that Preserve the Lie Products Equal to Fixed Elements

Shiv Kumar Chaudhary, Om Prakash

This work characterizes the general form of a bijective linear map $\Psi :{\mathcal{M}}_n(\mathbb{C})\to {\mathcal{M}}_n(\mathbb{C})$ such that $[\Psi (A_1),\Psi (A_2)]=D_2$ whenever $[A_1,~A_2]…