Promotion operator on rigged configurations of type A
Combinatorics
2010-02-09 v1 Quantum Algebra
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.
Keywords
Cite
@article{arxiv.0908.2458,
title = {Promotion operator on rigged configurations of type A},
author = {Anne Schilling and Qiang Wang},
journal= {arXiv preprint arXiv:0908.2458},
year = {2010}
}
Comments
37 pages