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Bases of the contact-order filtration of derivations of Coxeter arrangements

Author: Hiroaki Terao
Journal: Proc. Amer. Math. Soc. 133 (2005), 2029-2034
MSC (2000): Primary 32S22
Published electronically: January 21, 2005
Erratum: Proc. Amer. Math. Soc. 136 (2008), 2639
MathSciNet review: 2099414
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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).

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Hiroaki Terao
Affiliation: Department of Mathematics, Tokyo Metropolitan University, Minami-Ohsawa, Hachioji, Tokyo 192-0397, Japan

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
Article copyright: © Copyright 2005 American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication.

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