Monomial Crystals and Partition Crystals
Author(s)Tingley, Peter William
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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.
DepartmentMassachusetts Institute of Technology. Department of Mathematics
Symmetry, Integrability and Geometry: Methods and Applications
National Academy of Sciences of Ukraine (SIGMA (Symmetry, Integrability, and Geometry: Methods and Application))
Tingley, Peter. “Monomial Crystals and Partition Crystals.” SIGMA (April 21, 2010).
Final published version