Monomial Crystals and Partition Crystals
Name
Tingley-2010-Monomial Crystals an.pdf
Size
304.32 KB
Format
Adobe PDF
Checksum (MD5)
55aba92d3a6b7bfa264cdb8918712d1e
Author(s)
Tingley, Peter William
Date Issued
April 2010
Journal
Symmetry, Integrability and Geometry: Methods and Applications
Publisher
National Academy of Sciences of Ukraine (SIGMA (Symmetry, Integrability, and Geometry: Methods and Application))
Citation
Tingley, Peter. “Monomial Crystals and Partition Crystals.” SIGMA (April 21, 2010).
Version
Final published version
Abstract
Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ[subscript 0]) for [^ over sl][subscript 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.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
Creative Commons Attribution
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.3842/sigma.2010.035
