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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A smooth invariant not a smooth function of the invariant polynomials
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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
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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