Naslov
Some crystal Rogers-Ramanujan type identities

Autori
Primc, Mirko

Izvornik
Glasnik Matematički (0017-095X) 34(54) (1999); 73-86

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Rogers-Ramanujan identities; perfect crystals

Sažetak
By using the KMN^2 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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA