Monomial Crystals and Partition Crystals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2010
• Main Author: Tingley, P.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2010
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/146353
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Monomial Crystals and Partition Crystals / P. Tingley // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ.

Recently Fayers introduced a large family of combinatorial realizations of the fundamental crystal B(Λ₀) for sln, 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...