X=M Theorem: Fermionic formulas and rigged configurations under review
| dc.creator | Schilling, Anne | |
| dc.date | 2005-12-07 | |
| dc.date.accessioned | 2026-07-07T08:34:30Z | |
| dc.date.available | 2026-07-07T08:34:30Z | |
| dc.description | We give a review of the current status of the X=M conjecture. Here X stands for the one-dimensional configuration sum and M for the corresponding fermionic formula. There are three main versions of this conjecture: the unrestricted, the classically restricted and the level-restricted version. We discuss all three versions and illustrate the methods of proof with many examples for type A_{n-1}^{(1)}. In particular, the combinatorial approach via crystal bases and rigged configurations is discussed. Each section ends with a conglomeration of open problems. | |
| dc.description | 31 pages, 1 figure, axodraw and youngtab style file necessary | |
| dc.identifier | https://arxiv.org/abs/math/0512161 | |
| dc.identifier | http://arxiv.org/abs/math/0512161 | |
| dc.identifier | MSJ Memoirs 17 (2007) 75-104 (published by the Mathematical Society of Japan) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/139458 | |
| dc.subject | Quantum Algebra | |
| dc.subject | Combinatorics | |
| dc.subject | 17B37; 81R50; 82B23; 05A19 | |
| dc.title | X=M Theorem: Fermionic formulas and rigged configurations under review | |
| dc.type | text |