Monomial Crystals and Partition Crystals

Peter Tingley

Type: Article

Publication Date: 2010-04-21

Citations: 2

DOI: https://doi.org/10.3842/sigma.2010.035

Abstract

Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ 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.

Locations

Symmetry Integrability and Geometry Methods and Applications - View - PDF
arXiv (Cornell University) - View - PDF
DSpace@MIT (Massachusetts Institute of Technology) - View - PDF
DataCite API - View

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