Physics – Mathematical Physics
Scientific paper
2003-02-09
J. Phys. A: Math. Gen. 35 (2002) 807
Physics
Mathematical Physics
Scientific paper
10.1088/0305-4470/35/3/322
We discuss some basic properties of Lie group representations in rigged Hilbert spaces. In particular, we show that a differentiable representation in a rigged Hilbert space may be obtained as the projective limit of a family of continuous representations in a nested scale of Hilbert spaces. We also construct a couple of examples illustrative of the key features of group representations in rigged Hilbert spaces. Finally, we establish a simple criterion for the integrability of an operator Lie algebra in a rigged Hilbert space.
Böhm Alexander
Wickramasekara S.
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