论文标题

浮力的Pipe Dream RSK,增长图和Schubert结构常数

Bumpless pipe dream RSK, growth diagrams, and Schubert structure constants

论文作者

Huang, Daoji, Pylyavskyy, Pavlo

论文摘要

我们引入了左右RSK插入的类似物,以供完整标志品种的Schubert计算。所插入的对象是某些双词,插入的对象是易于实现的梦想,而录制对象是按照bruhat顺序装饰的链条。作为应用程序,我们采用Lenart的置换生长图,以在分离的下降案例中为Schubert结构常数提供组合规则。

We introduce analogs of left and right RSK insertion for Schubert calculus of complete flag varieties. The objects being inserted are certain biwords, the insertion objects are bumpless pipe dreams, and the recording objects are decorated chains in Bruhat order. As an application, we adopt Lenart's growth diagrams of permutations to give a combinatorial rule for Schubert structure constants in the separated descent case.

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