Crystal structure on rigged configurations
| dc.creator | Schilling, Anne | |
| dc.date | 2005-08-05 | |
| dc.date.accessioned | 2026-07-07T08:34:30Z | |
| dc.date.available | 2026-07-07T08:34:30Z | |
| dc.description | Rigged configurations are combinatorial objects originating from the Bethe Ansatz, that label highest weight crystal elements. In this paper a new unrestricted set of rigged configurations is introduced for types ADE by constructing a crystal structure on the set of rigged configurations. In type A an explicit characterization of unrestricted rigged configurations is provided which leads to a new fermionic formula for unrestricted Kostka polynomials or q-supernomial coefficients. The affine crystal structure for type A is obtained as well. | |
| dc.description | 20 pages, 1 figure, axodraw and youngtab style file necessary | |
| dc.identifier | https://arxiv.org/abs/math/0508107 | |
| dc.identifier | http://arxiv.org/abs/math/0508107 | |
| dc.identifier | International Mathematics Research Notices, Volume 2006, Article ID 97376, Pages 1-27 | |
| dc.identifier | doi:10.1155/IMRN/2006/97376 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139457 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 17B37; 81R50; 82B23; 05A19 | |
| dc.title | Crystal structure on rigged configurations | |
| dc.type | text |