Monomial Crystals and Partition Crystals

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 Be...

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Bibliographic Details
Main Author: Tingley, Peter William (Contributor)
Other Authors: Massachusetts Institute of Technology. Department of Mathematics (Contributor)
Format: Article
Language:English
Published: National Academy of Sciences of Ukraine (SIGMA (Symmetry, Integrability, and Geometry: Methods and Application)), 2014-09-16T19:28:15Z.
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Online Access:Get fulltext
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100 1 0 |a Tingley, Peter William  |e author 
100 1 0 |a Massachusetts Institute of Technology. Department of Mathematics  |e contributor 
100 1 0 |a Tingley, Peter William  |e contributor 
245 0 0 |a Monomial Crystals and Partition Crystals 
260 |b National Academy of Sciences of Ukraine (SIGMA (Symmetry, Integrability, and Geometry: Methods and Application)),   |c 2014-09-16T19:28:15Z. 
856 |z Get fulltext  |u http://hdl.handle.net/1721.1/89652 
520 |a 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. 
520 |a National Science Foundation (U.S.) (Grant DMS-0902649) 
546 |a en_US 
655 7 |a Article 
773 |t Symmetry, Integrability and Geometry: Methods and Applications