SOME CRYSTAL ROGERS-RAMANUJAN TYPE IDENTITIES
SOME CRYSTAL ROGERS-RAMANUJAN TYPE IDENTITIES
复制标题
一些水晶罗杰斯-拉马努金类型的身份
DOI:
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发表时间:
1999
期刊:
影响因子:
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通讯作者:
A. Nakayashiki
中科院分区:
文献类型:
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作者:
T. Nakashima;A. Nakayashiki
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 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.