Kirillov--Reshetikhin crystals for nonexceptional types
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Kirillov--Reshetikhin crystals for nonexceptional types

  • Author(s): Fourier, Ghislain
  • Okado, Masato
  • Schilling, Anne
  • et al.

Published Web Location

https://arxiv.org/pdf/0810.5067.pdf
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Abstract

We provide combinatorial models for all Kirillov--Reshetikhin crystals of nonexceptional type, which were recently shown to exist. For types D_n^(1), B_n^(1), A_{2n-1}^(2) we rely on a previous construction using the Dynkin diagram automorphism which interchanges nodes 0 and 1. For type C_n^(1) we use a Dynkin diagram folding and for types A_{2n}^(2), D_{n+1}^(2) a similarity construction. We also show that for types C_n^(1) and D_{n+1}^(2) the analog of the Dynkin diagram automorphism exists on the level of crystals.

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