Monomial Crystals and Partition Crystals

Details Monomial Crystals and Partition Crystals Monomial Crystals and Partition Crystals

2009-09-11

arxiv.org/abs/0909.2242v3

SIGMA 6 (2010), 035, 8 pages

Mathematics

Combinatorics

4 figures; v2: minor edits for clarity; v3: published version

Scientific paper

10.3842/SIGMA.2010.035

Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal for affine sl(n), where the vertices are indexed by certain partitions. He showed that special cases of this construction agree with the Misra-Miwa realization and with Berg's ladder crystal. Here we show that another special case is naturally isomorphic to a realization using Nakajima's monomial crystal.

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