论文标题

增加森林的对称功能

A symmetric function of increasing forests

论文作者

Abreu, Alex, Nigro, Antonio

论文摘要

对于冷漠图$ g $,我们定义了跨越$ g $的跨越森林的对称功能。我们证明该对称函数满足某些线性关系,这也通过色素准对称函数和单细胞LLT多项式来满足。结果,我们在基本的基础上对LLT多项式的系数进行了组合解释(最多是$(Q-1)$)的因素,从而加强了Alexandersson和Sulzgruber给出的描述。

For an indifference graph $G$ we define a symmetric function of increasing spanning forests of $G$. We prove that this symmetric function satisfies certain linear relations, which are also satisfied by the chromatic quasisymmetric function and unicellular LLT polynomials. As a consequence we give a combinatorial interpretation of the coefficients of the LLT polynomial in the elementary basis (up to a factor of a power of $(q-1)$), strengthening the description given by Alexandersson and Sulzgruber.

扫码加入交流群

加入微信交流群

微信交流群二维码

扫码加入学术交流群,获取更多资源