  We derive the asymptotic symmetries of the manifestly duality invariant
formulation of electromagnetism in Minkoswki space. We show that the action is
invariant under two algebras of angle-dependent $u(1)$ transformations, one
electric and the other magnetic. As in the standard electric formulation,
Lorentz invariance requires the addition of additional boundary degrees of
freedom at infinity, found here to be of both electric and magnetic types. A
notable feature of this duality symmetric formulation, which we comment upon,
is that the on-shell values of the zero modes of the gauge generators are equal
to only half of the electric and magnetic fluxes (the other half is brought in
by Dirac-string type contributions). Another notable feature is the absence of
central extension in the angle-dependent $u(1)^2$-algebra.
