The chamber basis of the Orlik–Solomon algebra and Aomoto complex

2007/03/25 by Masahiko Yoshinaga · 2 citations
Mathematics · #Advanced Combinatorial Mathematics #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.CO #math.GT #msc:32S22 #msc:32S50 #msc:52C35

paper · pdf · doi:10.1007/s11512-008-0085-x

16 pages

arxiv created 2007/03/25 · openalex publication_date 2008/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We introduce a basis of the Orlik–Solomon algebra labeled by chambers, the so called chamber basis. We consider structure constants of the Orlik–Solomon algebra with respect to the chamber basis and prove that these structure constants recover D. Cohen’s minimal complex from the Aomoto complex.

Citations

• Higher Homotopy Groups of Complements of Complex Hyperplane Arrangements
• Characteristic varieties of arrangements

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