Journal of Lie Theory

no. 1
Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600
Andreas Kriegl1; Mark Losik2; Peter W. Michor1; Armin Rainer1
1Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Wien, Austria
2Saratov State University, ul. Astrakhanskaya 83, 410026 Saratov, Russia
Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 245-249
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.
DOI: 10.5802/jolt.667
Classification: 22E45, 22C05
Keywords: Invariants, representations, lifting differentiably

Andreas Kriegl  1 ; Mark Losik  2 ; Peter W. Michor  1 ; Armin Rainer  1

1 Fakultät für Mathematik, Universität Wien, Nordbergstr. 15, 1090 Wien, Austria
2 Saratov State University, ul. Astrakhanskaya 83, 410026 Saratov, Russia 
Andreas Kriegl; Mark Losik; Peter W. Michor; Armin Rainer. Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600. Journal of Lie Theory, Volume 22 (2012) no. 1, pp. 245-249. doi: 10.5802/jolt.667
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     author = {Andreas Kriegl and Mark Losik and Peter W. Michor and Armin Rainer},
     title = {Addendum to: {"Lifting} smooth curves over invariants for representations of compact {Lie} groups, {III",} {J.} {Lie} {Theory} 16 (2006), {No.} 3, 579--600},
     journal = {Journal of Lie Theory},
     pages = {245--249},
     year = {2012},
     volume = {22},
     number = {1},
     doi = {10.5802/jolt.667},
     zbl = {1235.22016},
     url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.667/}
}
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