Nested complexes and their polyhedral realizations
| dc.creator | Zelevinsky, Andrei | |
| dc.date | 2005-07-13 | |
| dc.date | 2006-05-13 | |
| dc.date.accessioned | 2026-07-07T06:42:37Z | |
| dc.date.available | 2026-07-07T06:42:37Z | |
| dc.description | This note which can be viewed as a complement to Alex Postnikov's paper math.CO/0507163, presents a self-contained overview of basic properties of nested complexes and their two dual polyhedral realizations: as complete simplicial fans, and as simple polytopes. Most of the results are not new; our aim is to bring into focus a striking similarity between nested complexes and associated fans and polytopes on one side, and cluster complexes and generalized associahedra introduced and studied in hep-th/0111053, math.CO/0202004, on the other side. | |
| dc.description | v2: 14 pages, 1 figure; historical account in the introduction modified, Section 5 reorganized, Corollary 5.2 supplied with a self-contained proof; v3: minor editorial changes, Proposition 7.2 supplied with a proof; v4: a few typos fixed, one reference updated, final version, to appear in Pure and Applied Mathematics Quarterly | |
| dc.identifier | https://arxiv.org/abs/math/0507277 | |
| dc.identifier | http://arxiv.org/abs/math/0507277 | |
| dc.identifier | Pure and Applied Mathematics Quarterly, 2 (2006), no. 3, 1-17 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102109 | |
| dc.subject | Combinatorics | |
| dc.subject | 52B | |
| dc.title | Nested complexes and their polyhedral realizations | |
| dc.type | text |