Monomial Crystals and Partition Crystals
Combinatorics
2010-04-22 v3 Quantum Algebra
Abstract
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.
Keywords
Cite
@article{arxiv.0909.2242,
title = {Monomial Crystals and Partition Crystals},
author = {Peter Tingley},
journal= {arXiv preprint arXiv:0909.2242},
year = {2010}
}
Comments
4 figures; v2: minor edits for clarity; v3: published version