COXETER ARRANGEMENTS ARE HEREDITARILY FREE

• ORLIK PETER

  MATHEMATICS DEPARTMENT UNIVERSITY OF WISCONSIN

• TERAO HIROAKI

  MATHEMATICS DEPARTMENT UNIVERSITY OF WISCONSIN

抄録

A Coxeter arrangement is the set of reflecting hyperplanes in the reflection representation of a finite Coxeter group. Arnold and Saito showed that every Coxeter arrangement is free. We prove that any restriction of a Coxeter arrangement is again a free arrangement. It explains why the characteristic polynomial of any restriction of a Coxeter arrangement has only positive integer roots, which was observed by P. Orlik and L. Solomon. We use the classification of Coxeter groups.

収録刊行物

• Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ

  Ｔｏｈｏｋｕ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｊｏｕｒｎａｌ，　Ｓｅｃｏｎｄ　Ｓｅｒｉｅｓ 45 (3), 369-383, 1993

  東北大学大学院理学研究科数学専攻

キーワード

• General Mathematics

詳細情報

• CRID: 1390282680092140672
• NII論文ID: 110000026666
• NII書誌ID: AA00863953
• DOI: 10.2748/tmj/1178225890
• ISSN: 2186585X
• ISSN: 00408735
• MRID: 1231562
• 本文言語コード: en
• データソース種別:
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  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可