论文标题
Lenart的Bivastion通过Bumpless Pipe Dreams
Lenart's bijection via bumpless pipe dreams
论文作者
论文摘要
众所周知，由于Lenart和Weigandt，通过地图分别与某些Semistandard Tableaux一起进行了烟斗和浮躁的烟斗梦想。最近，Gao和Huang定义了前两组之间的两次培训。在本说明中，我们显示了无聊的排列，Gao-huang射击保留了相关的tableaux，从而为Lenart的结果提供了新的证明。我们的方法扩展到为任何富裕的时髦梦提供录音图。
Pipe dreams and bumpless pipe dreams for vexillary permutations are each known to be in bijection with certain semistandard tableaux via maps due to Lenart and Weigandt, respectively. Recently, Gao and Huang have defined a bijection between the former two sets. In this note we show for vexillary permutations that the Gao-Huang bijection preserves the associated tableaux, giving a new proof of Lenart's result. Our methods extend to give a recording tableau for any bumpless pipe dream.
