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

Masahiko Yoshinaga Department of Mathematics, Graduate School of Science, Kobe University

TBD mathscidoc:1701.333153

Arkiv for Matematik, 47, (2), 393-407, 2007.5
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.
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@inproceedings{masahiko2007the,
  title={The chamber basis of the Orlik–Solomon algebra and Aomoto complex},
  author={Masahiko Yoshinaga},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625489399962},
  booktitle={Arkiv for Matematik},
  volume={47},
  number={2},
  pages={393-407},
  year={2007},
}
Masahiko Yoshinaga. The chamber basis of the Orlik–Solomon algebra and Aomoto complex. 2007. Vol. 47. In Arkiv for Matematik. pp.393-407. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170108203625489399962.
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