  Associated to quantum affine general linear Lie superalgebras are two
families of short exact sequences of representations whose first and third
terms are irreducible: the Baxter TQ relations involving infinite-dimensional
representations; the extended T-systems of Kirillov--Reshetikhin modules. We
make use of these representations over the full quantum affine superalgebra to
define Baxter operators as transfer matrices for the quantum integrable model
and to deduce Bethe Ansatz Equations, under genericity conditions.
