Schur-Weyl duality yields a surjective map from tensor-algebra invariants to the center of U(g) for gl_{m|n}, q_n, osp_{2m+1|2n}, and p_n, and a new proof that Z(p_n)=0.
Coulembier, The periplectic Brauer algebra
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The Schur-Weyl duality and Invariants for classical Lie superalgebras
Schur-Weyl duality yields a surjective map from tensor-algebra invariants to the center of U(g) for gl_{m|n}, q_n, osp_{2m+1|2n}, and p_n, and a new proof that Z(p_n)=0.