Supersolvable arrangement

In mathematics, a supersolvable arrangement is a hyperplane arrangement which has a maximal flag with only modular elements.

Examples include arrangements associated with Coxeter groups of type A and B.

It is known that all Orlik–Solomon algebras of supersoluble arrangements are Koszul algebras.[1]

References

  1. ↑ Orlik–Solomon Algebras in Algebra and Topology, S. Yuzvinsky
This article is issued from Wikipedia - version of the 11/30/2013. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.