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We discuss some basic properties of Lie group representations in riggedHilbert spaces. In particular, we show that a differentiable representation ina rigged Hilbert space may be obtained as the projective limit of a family ofcontinuous representations in a nested scale of Hilbert spaces. We alsoconstruct a couple of examples illustrative of the key features of grouprepresentations in rigged Hilbert spaces. Finally, we establish a simplecriterion for the integrability of an operator Lie algebra in a rigged Hilbertspace

Symmetry representations in the rigged Hilbert space formulation of quantum mechanics