%0 Journal Article
%T A primitive derivation and logarithmic differential forms of Coxeter arrangements
%A Takuro Abe
%A Hiroaki Terao
%J Mathematics
%D 2008
%I arXiv
%X Let $W$ be a finite irreducible real reflection group, which is a Coxeter group. We explicitly construct a basis for the module of differential 1-forms with logarithmic poles along the Coxeter arrangement by using a primitive derivation. As a consequence, we extend the Hodge filtration, indexed by nonnegative integers, into a filtration indexed by all integers. This filtration coincides with the filtration by the order of poles. The results are translated into the derivation case.
%U http://arxiv.org/abs/0810.3107v3