Some crystal Rogers-Ramanujan type identities
| dc.creator | Primc, Mirko | |
| dc.date | 1998-05-20 | |
| dc.date.accessioned | 2026-07-07T05:24:48Z | |
| dc.date.available | 2026-07-07T05:24:48Z | |
| dc.description | By using the Kang-Kashiwara-Misra-Miwa-Nakashima-Nakayashiki crystal base character formula for the basic $A_2^{(1)}$-module, and the principally specialized Weyl-Kac character formula, we obtain a Rogers-Ramanujan type combinatorial identity for colored partitions. The difference conditions between parts are given by the energy function of certain perfect $A_2^{(1)}$-crystal. We also recall some other identities for this type of colored partitions, but coming from the vertex operator constructions and with no apparent connection to the crystal base theory. | |
| dc.description | 12 pages, AMSTeX | |
| dc.identifier | https://arxiv.org/abs/math/9805090 | |
| dc.identifier | http://arxiv.org/abs/math/9805090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76944 | |
| dc.subject | Quantum Algebra | |
| dc.subject | 05A19 (Primary) 17B37 17B67 (Secondary) | |
| dc.title | Some crystal Rogers-Ramanujan type identities | |
| dc.type | text |