  In this note we determine when is an induced module H^0_G(\lambda),
corresponding to a dominant integral highest weight \lambda of the general
linear supergroup G=GL(m|n) irreducible. Using the contravariant duality given
by the supertrace we obtain a characterization of irreducibility of Weyl
modules V(\lambda). This extends the result of Kac who proved that, for ground
fields of characteristic zero, V(\lambda) is irreducible if and only if \lambda
is typical.
