Physics Notes by Jakob Schwichtenberg

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group_theory:notions:casimir_operators

Casimir Operators

The Casimir operators are those operators that can be built from the generators of a given group that commute with all generators of the group. Therefore their value is invariant and can be used to characterize the irreducible representations.

This means in practice that the Casimir operators simply yield a fixed (=invariant) number for each representation that we use to label representations.