Journal of Lie Theory 22 (2012), No. 1, 245--249
Copyright Heldermann Verlag 2012
Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600
Andreas Kriegl
Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Wien, Austria
andreas.kriegl@univie.ac.at
Mark Losik
Saratov State University, ul. Astrakhanskaya 83, 410026 Saratov, Russia
losikmv@info.sgu.ru
Peter W. Michor
Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Wien, Austria
peter.michor@univie.ac.at
Armin Rainer
Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Wien, Austria
armin.rainer@univie.ac.at
We improve the main results in the paper from the title [Journal of Lie Theory 16 (2006) 579--600] using a recent refinement of Bronshtein's theorem due to Colombini, Orrú, and Pernazza. They are then in general best possible both in the hypothesis and in the outcome. As a consequence we obtain a result on lifting smooth mappings in several variables.
Keywords: Invariants, representations, lifting differentiably.
MSC: 22E45, 22C05
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