Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements

Takuro Abe, Hiroaki Terao

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We define primitive derivations for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the primitive filtrations of the module of invariant logarithmic differential forms for an arbitrary Coxeter arrangement with an arbitrary multiplicity. In particular, when the Coxeter arrangement is irreducible with a constant multiplicity, the primitive filtration was studied in Abe and Terao (2010) [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., Saito, 2003 [6]).

Original languageEnglish
Pages (from-to)251-262
Number of pages12
JournalJournal of Algebra
Issue number1
Publication statusPublished - Mar 15 2011
Externally publishedYes


All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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