Anomalies and eigenvalues of Casimir operators for Lie groups and supergroups

An expression for the anomaly of any representation of the SU(N) groups and SU(N/M) supergroups is presented. Some anomaly free complex representations of SU(N) and SU(N/M) are pointed out. For SU(N) these occur for N?5 and for large dimensions. For SU(N/M) they already occur for low dimensions. Also a generating function to obtain the eigenvalues of all Casimir operators of SU(N/M) is given and an extension to other supergroups is pointed out.