Annihilators of Ideals of Exterior Algebras
| dc.creator | Denham, Graham | |
| dc.creator | Yuzvinsky, Sergey | |
| dc.date | 2000-10-17 | |
| dc.date.accessioned | 2026-07-07T04:38:05Z | |
| dc.date.available | 2026-07-07T04:38:05Z | |
| dc.description | 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. | |
| dc.description | 18 pages; submitted to Advances in Applied Math | |
| dc.identifier | https://arxiv.org/abs/math/0010168 | |
| dc.identifier | http://arxiv.org/abs/math/0010168 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60146 | |
| dc.subject | Combinatorics | |
| dc.subject | Rings and Algebras | |
| dc.subject | 52C35, 05B35; 16E05 | |
| dc.title | Annihilators of Ideals of Exterior Algebras | |
| dc.type | text |