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 |
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Pages (from-to) | 251-262 |
Number of pages | 12 |
Journal | Journal of Algebra |
Volume | 330 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 15 2011 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory