论文标题
两排偏斜形状的排行榜列出的枚举
Enumeration of row-increasing tableaux of two-row skew shapes
论文作者
论文摘要
在本文中，我们首先通过在广义Schröder路径上给出了主要索引的分布来扩展Bonin，Shapiro和Simion的结果。然后，通过提供两行偏斜形状的广义schröder路径和划分的tableaux之间的两行，我们获得了主要指数的分布和在这些tableaux上的Amajor索引的分布，这扩展了DU，Fan，Fan，fan，fan，fan，fan，fan，fan和Zhao的结果。我们还概括了Pechenik的结果，并给出了主要指数的分布，而不是用两行增加偏斜形状。尤其是，从形状$（n，m）$和最大值$ n+m-k $ to Shate Young tableaux带有Shape $（（N-K+1，M-K+1,1^k）/（1^2））$的两次培养。
In this paper, we firstly extend a result of Bonin, Shapiro and Simion by giving the distribution of the major index over generalized Schröder paths. Then by providing a bijection between generalized Schröder paths and row-increasing tableaux of skew shapes with two rows, we obtain the distribution of the major index and the amajor index over these tableaux, which extends a result of Du, Fan and Zhao. We also generalize a result of Pechenik and give the distribution of the major index over increasing tableaux of skew shapes with two rows. Especially, a bijection from row-increasing tableaux with shape $(n,m)$ and maximal value $n+m-k$ to standard Young tableaux with shape $((n-k+1,m-k+1,1^k)/(1^2))$ is obtained.
