Geodesic
Lifting mappings over invariants of finite groups
Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1 
A. Kriegl; M. Losik; P. W. Michor; A. Rainer. Lifting mappings over invariants of finite groups. Acta mathematica Universitatis Comenianae, Tome 77 (2008) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a8/
@article{AMUC_2008_77_1_a8,
     author = {A. Kriegl and M. Losik and P. W. Michor and A. Rainer},
     title = {Lifting mappings over invariants of finite groups},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2008},
     volume = {77},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2008_77_1_a8/}
}
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%J Acta mathematica Universitatis Comenianae
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Voir la notice de l'article provenant de la source Comenius University

We characterize those regular, holomorphic or formal maps into the orbit space V/G of a complex representation of a finite group G which admit a regular, holomorphic or formal lift to the representation space V . In particular, the case of complex reflection groups is investigated.