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Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements
| Title: | Primitive filtrations of the modules of invariant logarithmic forms of Coxeter arrangements |
| Authors: | Abe, Takuro Browse this author | | Terao, Hiroaki Browse this author |
| Keywords: | Arrangements of hyperplanes | | Coxeter arrangements | | Coxeter groups | | Logarithmic differential 1-forms | | Primitive derivations | | Basic invariants | | Hodge filtrations |
| Issue Date: | 15-Mar-2011 |
| Publisher: | Elsevier |
| Journal Title: | Journal of Algebra |
| Volume: | 330 |
| Issue: | 1 |
| Start Page: | 251 |
| End Page: | 262 |
| Publisher DOI: | 10.1016/j.jalgebra.2010.12.010 |
| 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 [2], which generalizes the Hodge filtration introduced by K. Saito (e.g., [6]). |
| Type: | article (author version) |
| URI: | http://hdl.handle.net/2115/45014 |
| Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)
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Submitter: 寺尾 宏明
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