X=M for symmetric powers
| dc.creator | Schilling, Anne | |
| dc.creator | Shimozono, Mark | |
| dc.date | 2004-12-19 | |
| dc.date | 2005-04-20 | |
| dc.date.accessioned | 2026-07-07T06:24:53Z | |
| dc.date.available | 2026-07-07T06:24:53Z | |
| dc.description | The X=M conjecture of Hatayama et al. asserts the equality between the one-dimensional configuration sum X expressed as the generating function of crystal paths with energy statistics and the fermionic formula M for all affine Kac--Moody algebra. In this paper we prove the X=M conjecture for tensor products of Kirillov--Reshetikhin crystals B^{1,s} associated to symmetric powers for all nonexceptional affine algebras. | |
| dc.description | 40 pages; to appear in J. Algebra | |
| dc.identifier | https://arxiv.org/abs/math/0412376 | |
| dc.identifier | http://arxiv.org/abs/math/0412376 | |
| dc.identifier | J. Algebra 295 (2006) 562-610 | |
| dc.identifier | doi:10.1016/j.jalgebra.2005.04.023 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/96698 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 17B37; 81R10; 81R50; 82B23; 05A30 | |
| dc.title | X=M for symmetric powers | |
| dc.type | text |