Promotion operator on rigged configurations of type A

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

2009-08-17

arxiv.org/abs/0908.2458v1

The Electronic Journal of Combinatorics 17(1) (2010) R24

Mathematics

Combinatorics

37 pages

Scientific paper

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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