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We briefly review a matrix based method to compute the Casimir operators ofLie algebras, mainly certain type of contractions of simple Lie algebras. Theversatility of the method is illustrated by constructing matrices whosecharacteristic polynomials provide the invariants of the kinematical algebrasin (3+1)-dimensions. Moreover it is shown, also for kinematical algebras, howsome reductions on these matrices are useful for determining the missingoperators in the missing label problem (MLP).

Application of the Gel'fand Matrix Method to the Missing Label Problem in Classical Kinematical Lie Algebras