Some Crystal Rogers-ramanujan Type Identities

Abstract

Abstract. By using the KMN2 crystal base character formula for the basic A (1) 2 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 (1) 2 crystal. We also recall some… (More)

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