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

Takuro Abe, Hiroaki Terao

研究成果: Contribution to journalArticle査読

3 被引用数 (Scopus)

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
330
1
DOI
出版ステータス出版済み - 3 15 2011
外部発表はい

All Science Journal Classification (ASJC) codes

  • 代数と数論

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