no. 2
Lie groups with smooth characters and with smooth semicharacters
Compositio Mathematica, Tome 48 (1983) no. 2, pp. 185-208 
@article{CM_1983__48_2_185_0,
     author = {Pedersen, Niels Vigand},
     title = {Lie groups with smooth characters and with smooth semicharacters},
     journal = {Compositio Mathematica},
     pages = {185--208},
     year = {1983},
     publisher = {Martinus Nijhoff Publishers},
     volume = {48},
     number = {2},
     mrnumber = {700003},
     zbl = {0526.22011},
     language = {en},
     url = {https://www.numdam.org/item/CM_1983__48_2_185_0/}
}
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Pedersen, Niels Vigand. Lie groups with smooth characters and with smooth semicharacters. Compositio Mathematica, Tome 48 (1983) no. 2, pp. 185-208. https://www.numdam.org/item/CM_1983__48_2_185_0/

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