The primitive derivation and freeness of multi-Coxeter arrangements

Yoshinaga, Masahiko

Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, p. 116-119 / Harvested from Project Euclid

Résumé

We will prove the freeness of multi-Coxeter arrangements by constructing a basis of the module of vector fields which contact to each reflecting hyperplanes with some multiplicities using K. Saito's theory of primitive derivation.

Publié le : 2002-09-14
Classification: Hodge filtration, finite reflection group, Coxeter arrangement, adjoint quotient, 32S22, 05E15

@article{1148392632,
     author = {Yoshinaga, Masahiko},
     title = {The primitive derivation and freeness of multi-Coxeter arrangements},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {78},
     number = {10},
     year = {2002},
     pages = { 116-119},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1148392632}
}

Yoshinaga, Masahiko. The primitive derivation and freeness of multi-Coxeter arrangements. Proc. Japan Acad. Ser. A Math. Sci., Tome 78 (2002) no. 10, pp.  116-119. http://gdmltest.u-ga.fr/item/1148392632/