# Visualizing irreps of SU(N)

What physical system can one use as an example while considering irreps of SU(N)? What is the correspondence between the system and the irreps?

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An irreducible representation of a compact Lie group such as $SU(N)$ may always be understood as being the quantization of a certain 1-dimensional topological gauge field theory. In that the representation space is the Hilbert space of states of the 1d TFT and the group action on that is the action of the quantum observables on the states.