  We will discuss the Fourier-Mukai partners of a given abelian variety. The
first part of the note is to give some basic theory of Fourier-Mukai partners
and semi-homogenous vector bundles, then we will discuss the case when the
kernel of an equivalence is given by a semi-homogenous vector bundle. In
particular, given an abelian variety B, and a simple semi-homogenous vector
bundle E on B, we will discuss for which E, it can be the image of the
structure sheaf of the unit on A under some triangulated equivalence, where A
is some abelian variety.
