Partition identities from higher level crystals of A1(1)
Abstract
We study perfect crystals for the standard modules of the affine Lie algebra A1(1) at all levels using the theory of multi-grounded partitions. We prove a family of partition identities which are reminiscent of the Andrews-Gordon identities and companions to the Meurman-Primc identities, but with simple difference conditions involving absolute values.
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