论文标题
Pieri-Type乘法公式用于量子Grothendieck多项式
Pieri-type multiplication formula for quantum Grothendieck polynomials
论文作者
论文摘要
本文的目的是证明用于量子Grothendieck多项式的Pieri型乘法公式，该公式由Lenart-Maeno猜想。该公式将使我们能够明确计算（小）量子$ k $ -k $ - 理论中的两个任意（相反）的舒伯特类的量子产品（FL_ {n}）$ qk（fl_ {n}）$（完整的）flagold $ fl_ {n} $ fl_ {n} $ flopy classect in tate pyter nat the量子的量子$ a_ a_ i { $ qk（fl_ {n}）$。
The purpose of this paper is to prove a Pieri-type multiplication formula for quantum Grothendieck polynomials, which was conjectured by Lenart-Maeno. This formula would enable us to compute explicitly the quantum product of two arbitrary (opposite) Schubert classes in the (small) quantum $K$-theory ring $QK(Fl_{n})$ of the (full) flag manifold $Fl_{n}$ of type $A_{n-1}$ on the basis of the fact that quantum Grothendieck polynomials represent (opposite) Schubert classes in $QK(Fl_{n})$.
