| Autor: |
Gregory, Adam, Hamaker, Zachary, Yu, Tianyi |
| Rok vydání: |
2024 |
| Předmět: |
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| Druh dokumentu: |
Working Paper |
| Popis: |
Lam, Lee and Shimozono recently introduced backstable double Grothendieck polynomials to represent $K$-theory classes of the infinite flag variety. They used them to define double $\beta$-Stanley symmetric functions, which expand into double stable Grothendieck functions with polynomial coefficients called double $\beta$-Edelman--Greene coefficients. Anderson proved these coefficients are $\beta$-Graham positive. For vexillary permutations, this is equivalent to a statement for skew flagged double $\beta$-Grothendieck functions. Working in this setting, we give a tableau formula for vexillary double $\beta$-Edelman--Greene coefficients that is manifestly $\beta$-Graham positive. Our formula demonstrates a finer notion of positivity than was previously known. |
| Databáze: |
arXiv |
| Externí odkaz: |
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