论文标题

Hecke列插入的行类似物

A row analogue of Hecke column insertion

论文作者

Huang, Daoji, Shimozono, Mark, Yu, Tianyi

论文摘要

我们引入了一种新的行插入算法,以减少tableaux和增加tableaux,从而推广Edelman-Greene(EG)行插入。我们的行插入算法是Hecke色谱柱插入的非平凡变化,它概括了EG柱插入。与Hecke色谱柱插入类似,我们的行插入是公徒的,并且尊重Hecke等效性,因此将稳定的Grothendieck函数的扩展恢复到Grassmannian稳定的Grothendieck函数中。

We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivial variation of Hecke column insertion which generalizes EG column insertion. Similar to Hecke column insertion, our row insertion is bijective and respects Hecke equivalence, and therefore recovers the expansions of stable Grothendieck functions into Grassmannian stable Grothendieck functions.

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