Abstract

Let ϕ be a bijective linear map on the algebra of n×n complex matrices such that ϕ(e12)=e12 and [ϕ(A),ϕ(B)]=e12 whenever [A,B]=e12. The purpose of this paper is to describe ϕ. Surprisingly, ϕ has a different description from maps preserving zero Lie products.

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