Annihilators of Ideals of Exterior Algebras

Details Annihilators of Ideals of Exterior Algebras Annihilators of Ideals of Exterior Algebras

2000-10-17

arxiv.org/abs/math/0010168v1

Mathematics

Combinatorics

18 pages; submitted to Advances in Applied Math

Scientific paper

The Orlik-Solomon algebra A of a matroid is isomorphic to the quotient of an exterior algebra E by a defining ideal I. We find an explicit presentation of the annihilator ideal of I or, equivalently, the E-module dual to A. As an application of that we provide a necessary, combinatorial condition for the algebra A to be quadratic. We show that this is stronger than matroid being line-closed thereby resolving (negatively) a conjecture by Falk. We also show that our condition is not sufficient for the quadraticity.

Affiliated with

Also associated with

No associations

Rating

Annihilators of Ideals of Exterior Algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Annihilators of Ideals of Exterior Algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Annihilators of Ideals of Exterior Algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34802