Chamber basis of the Orlik-Solomon algebra and Aomoto complex
arXiv:math/0703733 · doi:10.1007/s11512-008-0085-x
Abstract
We introduce a basis of the Orlik-Solomon algebra labeled by chambers, 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.
16 pages