We generalize results of our previous studies for global gauge anomalies of simple Lie groups in even-dimensional space $D=2n$. Assuming the absence of local anomalies, we first show that any real (or orthogonal) representation has no global anomaly in $D\equiv 2, 4, 6$ (mod 8), and that the pseudoreal (or symplectic) one is free of global anomalies in $D\equiv 0, 2, 6$ (mod 8). Second, we prove that the SU(3) group has no global anomalies in any even dimension and neither does SU(4) in $D\equiv 4$ (mod 8).

• Received 29 March 1989

DOI:https://doi.org/10.1103/PhysRevD.40.1925