抄録
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]).
本文言語 | 英語 |
---|---|
ページ(範囲) | 251-262 |
ページ数 | 12 |
ジャーナル | Journal of Algebra |
巻 | 330 |
号 | 1 |
DOI | |
出版ステータス | 出版済み - 3月 15 2011 |
外部発表 | はい |
!!!All Science Journal Classification (ASJC) codes
- 代数と数論