On the X=M=K Conjecture
| dc.creator | Shimozono, Mark | |
| dc.date | 2005-01-21 | |
| dc.date.accessioned | 2026-07-07T05:16:15Z | |
| dc.date.available | 2026-07-07T05:16:15Z | |
| dc.description | In the large rank limit, for any nonexceptional affine algebra, the graded branching multiplicities known as one-dimensional sums, are conjectured to have a simple relationship with those of type A, which are known as generalized Kostka polynomials. This is called the X=M=K conjecture. It is proved for tensor products of the symmetric power Kirillov-Reshetikhin modules for all nonexceptional affine algebras except those whose Dynkin diagrams are isomorphic to that of untwisted affine type D near the zero node. Combined with results of Lecouvey, this realizes the above one-dimensional sums of affine type C, as affine Kazhdan-Lusztig polynomials (and conjecturally for type D). | |
| dc.description | requires the provided style file rcyoungtab.sty | |
| dc.identifier | https://arxiv.org/abs/math/0501353 | |
| dc.identifier | http://arxiv.org/abs/math/0501353 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/73916 | |
| dc.subject | Combinatorics | |
| dc.subject | Quantum Algebra | |
| dc.subject | 17B37; 81R10; 81R50; 82B23; 05A30 | |
| dc.title | On the X=M=K Conjecture | |
| dc.type | text |