2016/06/30 by Jae-Hoon Kwon · 1 citation
Mathematics · #math.RT #math.CO #math.QA #msc:17B37 #msc:22E46 #msc:05E10
published as Journal of Combinatorial Theory, Series A. 154 (2018), 422-443 · 22 pages, minor corrections; introduction revised, statements and proofs of Proposition 4.1 and Theorem 4.2 revised, comments added on Remark 4.4, typos corrected
arxiv created 2017/07/26 · arxiv updated 2019/07/04
Let i be a reduced expression of the longest element in the Weyl group of type A, which is adapted to a Dynkin quiver with a single sink. We present a simple description of the crystal embedding of Young tableaux of arbitrary shape into i-Lusztig data, which also gives an algorithm for the transition matrix between Lusztig data associated to reduced expressions adapted to quivers with a single sink.