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
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
Keywords: Invariants, representations, lifting differentiably
@article{JOLT_2012_22_1_a8,
author = {A. Kriegl and M. Losik and P. W. Michor and A. 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/}
}
TY - JOUR AU - A. Kriegl AU - M. Losik AU - P. W. Michor AU - A. Rainer TI - Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600 JO - Journal of Lie Theory PY - 2012 SP - 245 EP - 249 VL - 22 IS - 1 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.667/ DO - 10.5802/jolt.667 ID - JOLT_2012_22_1_a8 ER -
%0 Journal Article %A A. Kriegl %A M. Losik %A P. W. Michor %A A. Rainer %T Addendum to: "Lifting smooth curves over invariants for representations of compact Lie groups, III", J. Lie Theory 16 (2006), No. 3, 579--600 %J Journal of Lie Theory %D 2012 %P 245-249 %V 22 %N 1 %U https://jolt.centre-mersenne.org/articles/10.5802/jolt.667/ %R 10.5802/jolt.667 %F JOLT_2012_22_1_a8
A. Kriegl; M. Losik; P. W. Michor; A. 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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