Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]

Details Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.] Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III" [J. Lie Theory 16 (2006), No. 3, 579-600.]

2011-06-28

arxiv.org/abs/1106.6041v1

J. Lie Theory 22, 1 (2012), 245-249

Mathematics

Representation Theory

5 pages

Scientific paper

We improve the main results in the paper from the title using a recent
refinement of Bronshtein's theorem due to Colombini, Orr\'u, 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.

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