Promotion Operator on Rigged Configurations of Type A
Promotion Operator on Rigged Configurations of Type A
复制标题
A 类操纵配置上的促销操作员
DOI：
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发表时间：
2009
影响因子：
0.7
通讯作者：
Qiang Wang
中科院分区：
文献类型：
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作者：
A. Schilling;Qiang Wang
最近，模拟的促进运营商的晶体类型A下的推广的双射Kerov，Kirillov和Reshetikhin晶体之间（或Littlewood-理查森tableaux）和操纵配置提出。本文给出了这个猜想的一个证明。这特别表明A_n^{（1）}型晶体张量积与（无限制）操纵组态之间的双射是仿射晶体同构。
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.