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- W2949278422 abstract "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." @default.
- W2949278422 created "2019-06-27" @default.
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- W2949278422 date "1998-05-20" @default.
- W2949278422 modified "2023-10-18" @default.
- W2949278422 title "Some crystal Rogers-Ramanujan type identities" @default.
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