A smooth invariant not a smooth function of the invariant polynomials
HTML articles powered by AMS MathViewer
- by Larry Bates PDF
- Proc. Amer. Math. Soc. 135 (2007), 3039-3040 Request permission
Abstract:
An explicit example is given of a smooth function invariant under a linear group action that is not a smooth function of the invariant polynomials.References
- Gerald W. Schwarz, Smooth functions invariant under the action of a compact Lie group, Topology 14 (1975), 63–68. MR 370643, DOI 10.1016/0040-9383(75)90036-1
Additional Information
- Larry Bates
- Affiliation: Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4 Canada
- MR Author ID: 32490
- Received by editor(s): May 8, 2006
- Published electronically: February 6, 2007
- Additional Notes: Partially supported by NSERC
- Communicated by: Martin Lorenz
- © Copyright 2007
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 135 (2007), 3039-3040
- MSC (2000): Primary 14L24, 16W22
- DOI: https://doi.org/10.1090/S0002-9939-07-08797-7
- MathSciNet review: 2322732