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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
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Abstract | References | Similar articles | Additional information

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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