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

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

2002-06-20

arxiv.org/abs/math/0206204v3

Proc. AMS 133 (2005), 2029-2034; 136 (2008), 2639-2639

Mathematics

Combinatorics

7 pages

Scientific paper

In [5] (=Terao, H.: Multiderivations of Coxeter arrangements. Inventiones math., 148 (2002) 659--674), 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 [7] (=Yoshinaga, M.: The primitive derivation and freeness of multi-Coxeter arrangements. preprint 2002). In this note we give an explicit formula relating Yoshinaga's basis to the basis given in [5]. The two bases turn out to be equal (up to a constant matrix).

Affiliated with

Also associated with

No associations

Rating

Bases of the contact-order filtration of derivations of Coxeter arrangements does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bases of the contact-order filtration of derivations of Coxeter arrangements, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bases of the contact-order filtration of derivations of Coxeter arrangements will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-330260