Combinatorial and algebraic structure in Orlik-Solomon algebras
| dc.creator | Falk, Michael | |
| dc.date | 2000-09-13 | |
| dc.date.accessioned | 2026-07-07T04:37:23Z | |
| dc.date.available | 2026-07-07T04:37:23Z | |
| dc.description | The Orlik-Solomon algebra ${\cal A}(G)$ of a matroid $G$ is the free exterior algebra on the points, modulo the ideal generated by the circuit boundaries. On one hand, this algebra is a homotopy invariant of the complement of any complex hyperplane arrangement realizing $G$. On the other hand, some features of the matroid $G$ are reflected in the algebraic structure of ${\cal A}(G)$. In this mostly expository article, we describe recent developments in the construction of algebraic invariants of ${\cal A}(G)$. We develop a categorical framework for the statement and proof of recently discovered isomorphism theorems which suggests a possible setting for classification theorems. Several specific open problems are formulated. | |
| dc.description | 16 pages, 1 figure. to appear in European J. Combinatorics Special Issue - Proceedings of OM99 at CIRM | |
| dc.identifier | https://arxiv.org/abs/math/0009135 | |
| dc.identifier | http://arxiv.org/abs/math/0009135 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59932 | |
| dc.subject | Combinatorics | |
| dc.subject | Rings and Algebras | |
| dc.subject | 52C35,05B35 | |
| dc.title | Combinatorial and algebraic structure in Orlik-Solomon algebras | |
| dc.type | text |