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 $\hat{I}¨:{\mathcal{M}}_n(\mathbb{C})\to {\mathcal{M}}_n(\mathbb{C})$ such that $[\hat{I}¨(A_1),\hat{I}¨(A_2)]=D_2$ whenever $[A_1,~A…