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Abstract: Let $W$ be a finite irreducible real reflection group, which is a Coxetergroup. We explicitly construct a basis for the module of differential 1-formswith logarithmic poles along the Coxeter arrangement by using a primitivederivation. As a consequence, we extend the Hodge filtration, indexed bynonnegative integers, into a filtration indexed by all integers. Thisfiltration coincides with the filtration by the order of poles. The results aretranslated into the derivation case.



Author: Takuro Abe, Hiroaki Terao

Source: https://arxiv.org/







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