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math.QAApr 10, 2015
authors
  • Masato Okado
institutions
  • Osaka City University
arXiv abstractPDF
paper

Similarity and Kirillov-Schilling-Shimozono bijection

arXiv:1504.02568

Abstract

The behavior of the Kirillov-Schilling-Shimozono bijection is examined under the similarity map on Kirillov-Reshetikhin crystals. It enables us to define this bijection over Q. Conjectures on the extension to R is also presented.

arXiv comment14 pages

References in corpus (9)

  • Existence of Kirillov-Reshetikhin crystals for nonexceptional types
  • Crystal interpretation of Kerov-Kirillov-Reshetikhin bijection
  • Tau functions in combinatorial Bethe ansatz
  • Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
  • Geometric Crystal and Tropical R for D^(1)_n
  • X=M Theorem: Fermionic formulas and rigged configurations under review
  • Combinatorial aspects of the conserved quantities of the tropical periodic Toda lattice
  • Remarks on Fermionic Formula
  • Simplicity and similarity of Kirillov-Reshetikhin crystals
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