Promotion operator on rigged configurations of type A
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Promotion operator on rigged configurations of type A

  • Author(s): Schilling, Anne
  • Wang, Qiang
  • et al.

Published Web Location

https://arxiv.org/pdf/0908.2458.pdf
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Abstract

Recently, the analogue of the promotion operator on crystals of type A under a generalization of the bijection of Kerov, Kirillov and Reshetikhin between crystals (or Littlewood--Richardson tableaux) and rigged configurations was proposed. In this paper, we give a proof of this conjecture. This shows in particular that the bijection between tensor products of type A_n^{(1)} crystals and (unrestricted) rigged configurations is an affine crystal isomorphism.

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