Partition models for the crystal of the basic $U_q(\hat{\mathfrak{sl}}_n)$-module

Matthew Fayers

doi:10.1007/s10801-010-0217-9

paper

Partition models for the crystal of the basic $U_{q} (sl^_{n})$ -module

arXiv:0906.4129 · doi:10.1007/s10801-010-0217-9

Abstract

For each $n ⩾ 3$ , we construct an uncountable family of models of the crystal of the basic $U_{q} (sl^_{n})$ -module. These models are all based on partitions, and include the usual $n$ -regular and $n$ -restricted models, as well as Berg's ladder crystal, as special cases.

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Monomial Crystals and Partition Crystals

Partition models for the crystal of the basic Uq​(sl^n​)-module

Abstract

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Partition models for the crystal of the basic $U_{q} (sl^_{n})$ -module