The octahedron recurrence and gl(n) crystals
| dc.creator | Henriques, Andre | |
| dc.creator | Kamnitzer, Joel | |
| dc.date | 2004-08-09 | |
| dc.date | 2005-06-13 | |
| dc.date.accessioned | 2026-07-07T05:11:08Z | |
| dc.date.available | 2026-07-07T05:11:08Z | |
| dc.description | We study the hive model of gl(n) tensor products, following Knutson, Tao, and Woodward. We define a coboundary category where the tensor product is given by hives and where the associator and commutor are defined using a modified octahedron recurrence. We then prove that this category is equivalent to the category of crystals for the Lie algebra gl(n). The proof of this equivalence uses a new connection between the octahedron recurrence and the Jeu de Taquin and Schutzenberger involution procedures on Young tableaux. | |
| dc.description | 25 pages, 19 figures, counterexample to Yang-Baxter equation added | |
| dc.identifier | https://arxiv.org/abs/math/0408114 | |
| dc.identifier | http://arxiv.org/abs/math/0408114 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72140 | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.title | The octahedron recurrence and gl(n) crystals | |
| dc.type | text |