Promotion operator on rigged configurations of type A

作者：Schilling Anne^*; Wang Qiang

来源：Electronic Journal of Combinatorics, 2010, 17(1): R24.

In [14], 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.

• 出版日期2010-2-8