  In this article we study derived (auto)equivalences of generalized Kummer
varieties $\mathrm{Kum}^n(A)$. We provide an answer to a question raised by
Namikawa by showing that the generalized Kummer varieties $\mathrm{Kum}^n(A)$
and $\mathrm{Kum}^n(A^\vee)$ are derived equivalent as long as $n$ is even and
the abelian surface $A$ admits a polarization whose exponent is coprime to
$n+1$. Furthermore we obtain exact sequences involving groups of
autoequivalences in the style of Orlov's short exact sequence for
autoequivalences of abelian varieties.
