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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 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Bases of the contact-order filtration of derivations of Coxeter arrangements
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by Hiroaki Terao
Proc. Amer. Math. Soc. 133 (2005), 2029-2034
DOI: https://doi.org/10.1090/S0002-9939-05-07767-1
Published electronically: January 21, 2005
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Erratum: Proc. Amer. Math. Soc. 136 (2008), 2639-2639.

Abstract:

In a recent paper, we constructed a basis for the contact-order filtration of the module of derivations on the orbit space of a finite real reflection group acting on an $\ell$-dimensional Euclidean space. Recently M. Yoshinaga constructed another basis for the contact-order filtration. In this note we give an explicit formula relating Yoshinaga’s basis to the basis we constructed earlier. The two bases turn out to be equal (up to a constant matrix).
References
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Bibliographic Information
  • Hiroaki Terao
  • Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan
  • MR Author ID: 191642
  • Received by editor(s): June 25, 2002
  • Received by editor(s) in revised form: March 1, 2004
  • Published electronically: January 21, 2005
  • Additional Notes: The author was partially supported by the Grant-in-aid for scientific research (Nos. 14340018 and 13874005), the Ministry of Education, Sports, Science and Technology, Japan
  • Communicated by: John R. Stembridge
  • © Copyright 2005 American Mathematical Society
    The copyright for this article reverts to public domain 28 years after publication.
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2029-2034
  • MSC (2000): Primary 32S22
  • DOI: https://doi.org/10.1090/S0002-9939-05-07767-1
  • MathSciNet review: 2099414