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arXiv · 0908.2458

Promotion operator on rigged configurations of type A

Anne Schilling·Qiang Wang
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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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Anne Schilling, Qiang Wang. 2009-08-17. Promotion operator on rigged configurations of type A. https://arxiv.org/abs/0908.2458

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