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

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

2009-06-22

arxiv.org/abs/0906.4129v3

J. Algebraic Combin. 32 (2010) 339-370

Mathematics

Combinatorics

Scientific paper

10.1007/s10801-010-0217-9

For each $n\geqslant3$, we construct an uncountable family of models of the
crystal of the basic $U_q(\hat{\mathfrak{sl}}_n)$-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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