Some crystal Rogers-Ramanujan type identities

Details Some crystal Rogers-Ramanujan type identities Some crystal Rogers-Ramanujan type identities

1998-05-20

arxiv.org/abs/math/9805090v1

Mathematics

Quantum Algebra

12 pages, AMSTeX

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Some crystal Rogers-Ramanujan type identities does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Some crystal Rogers-Ramanujan type identities, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Some crystal Rogers-Ramanujan type identities will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-498595