A primitive derivation and logarithmic differential forms of Coxeter arrangements

DOI IR (HANDLE) Open Access

Description

Let W be a finite irreducible real reflection group, which is a Coxeter roup. We explicitly construct a basis for the module of differential -forms with logarithmic poles along the Coxeter arrangement by sing a primitive derivation. As a consequence, we extend the Hodge iltration, indexed by nonnegative integers, into a filtration indexed by ll integers. This filtration coincides with the filtration by the order f poles. The results are translated into the derivation case.

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Keywords

Details 詳細情報について

  • CRID
    1390853649725558784
  • NII Article ID
    120006459624
  • DOI
    10.14943/84077
  • HANDLE
    2115/69737
  • Text Lang
    en
  • Article Type
    departmental bulletin paper
  • Data Source
    • JaLC
    • IRDB
    • CiNii Articles
  • Abstract License Flag
    Allowed

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