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

Takuro Abe; Hiroaki Terao

doi:10.1016/j.jalgebra.2010.12.010

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

Takuro Abe, Hiroaki Terao

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	251-262
Number of pages	12
Journal	Journal of Algebra
Volume	330
Issue number	1
DOIs	https://doi.org/10.1016/j.jalgebra.2010.12.010
Publication status	Published - Mar 15 2011
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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