ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXVII, 1 (2008)
p. 93 - 122

Lifting mappings over invariants of finite groups

A. Kriegl, M. Losik, P. W. Michor and A. Rainer

Received: November 13, 2006;  Accepted: June 26, 2007



Abstract.  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.

Keywords:  invariants; lifts.

AMS Subject classification: Primary:  14L24; 14L30.


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Acta Mathematica Universitatis Comenianae
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