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## Main Question or Discussion Point

I followed a book on SUSY where the SUSY Casimir operator, modified from the Pauli-Lubanski vector, is stated and then proven to commute with all SUSY generators. However, I'm wondering whether there's a systematic approach of deriving the Casimir operator, other than trial-and-error? Is there a general method of deriving Casimir operators for an arbitrary graded Lie algebra?