Scholarlink

<p>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. We adopt Lenart’s growth diagrams of permutations to give a combinatorial rule for Schubert structure constants in the separated descent case. We also study a class of biwords with an associativity property, called plactic biwords. We prove that any two plactic biwords with the same insertion bumpless pipe dream are connected by an analog of Knuth moves.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

RSK insertion and Knuth moves for Schubert polynomials

  • 期刊论文

  • 发表日期：

    2025年11月4日

查看全文
  • Daoji Huang,
  • Pavlo Pylyavskyy

摘要

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. We adopt Lenart’s growth diagrams of permutations to give a combinatorial rule for Schubert structure constants in the separated descent case. We also study a class of biwords with an associativity property, called plactic biwords. We prove that any two plactic biwords with the same insertion bumpless pipe dream are connected by an analog of Knuth moves.