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arXiv · 0910.2506

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

Takuro Abe·Hiroaki Terao
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Abstract

We define {\bf primitive derivations} for Coxeter arrangements which may not be irreducible. Using those derivations, we introduce the {\bf 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 has already been studied, which generalizes the Hodge filtration introduced by K. Saito.

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Takuro Abe, Hiroaki Terao. 2009-10-14. Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements. https://doi.org/10.1016/j.jalgebra.2010.12.010

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