论文标题
Jacobi - 用于精制双重稳定Grothendieck多项式的Trudi公式
Jacobi--Trudi formula for refined dual stable Grothendieck polynomials
论文作者
论文摘要
在2007年，LAM和Pylavskyy找到了双重稳定Grothendieck多项式的组合公式，这是稳定的Grothendieck多项式相对于Hall Inner产品的双重基础。 2016年，Galashin，Grinberg和Liu通过将其他参数序列放入LAM和Pylyavskyy的组合公式中，引入了精致的双重稳定Grothendieck多项式。格林伯格（Grinberg）猜想了一种雅各比（Jacobi） - Trudi型公式，用于精制双重稳定的Grothendieck多项式。在本文中，通过使用LAM和Pylavskyy的Beriontions证明了这一猜想。
In 2007 Lam and Pylyavskyy found a combinatorial formula for the dual stable Grothendieck polynomials, which are the dual basis of the stable Grothendieck polynomials with respect to the Hall inner product. In 2016 Galashin, Grinberg, and Liu introduced refined dual stable Grothendieck polynomials by putting additional sequence of parameters in the combinatorial formula of Lam and Pylyavskyy. Grinberg conjectured a Jacobi--Trudi type formula for refined dual stable Grothendieck polynomials. In this paper this conjecture is proved by using bijections of Lam and Pylyavskyy.
