%0 Journal Article
%T Monomial Crystals and Partition Crystals
%A Peter Tingley
%J Symmetry, Integrability and Geometry : Methods and Applications
%D 2010
%I National Academy of Science of Ukraine
%X Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(ĻĢ_0) for ^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.
%K crystal basis
%K partition
%K affine Kac-Moody algebra
%U http://dx.doi.org/10.3842/SIGMA.2010.035