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A smooth invariant not a smooth function of the invariant polynomials
Author(s):
Larry
Bates
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3039-3040.
MSC (2000):
Primary 14L24, 16W22
Posted:
February 6, 2007
MathSciNet review:
2322732
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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:
-
- 1.
- G. Schwarz.
Smooth functions invariant under the action of a compact Lie group.
Topology, 14:63-68, 1975. MR 0370643 (51:6870)
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Additional Information:
Larry
Bates
Affiliation:
Department of Mathematics and Statistics, University of Calgary, Calgary, Alberta, T2N 1N4 Canada
DOI:
10.1090/S0002-9939-07-08797-7
PII:
S 0002-9939(07)08797-7
Keywords:
Geometric invariant theory
Received by editor(s):
May 8, 2006
Posted:
February 6, 2007
Additional Notes:
Partially supported by NSERC
Communicated by:
Martin Lorenz
Copyright of article:
Copyright
2007,
American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.
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