Monomial Crystals and Partition Crystals

dc.contributor.author	Tingley, P.
dc.date.accessioned	2019-02-09T09:26:02Z
dc.date.available	2019-02-09T09:26:02Z
dc.date.issued	2010
dc.identifier.citation	Monomial Crystals and Partition Crystals / P. Tingley // Symmetry, Integrability and Geometry: Methods and Applications. — 2010. — Т. 6. — Бібліогр.: 14 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 17B37; 05E10
dc.identifier.other	DOI:10.3842/SIGMA.2010.035
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146353
dc.description.abstract	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 show that another special case is naturally isomorphic to a realization using Nakajima's monomial crystal.	uk_UA
dc.description.sponsorship	We thank Chris Berg, Matthew Fayers, David Hernandez and Monica Vazirani for interesting discussions. This work was supported by NSF grant DMS-0902649.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Monomial Crystals and Partition Crystals	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA