论文标题
通过顶点操作员
Plethystic Murnaghan-Nakayama rule via vertex operators
论文作者
论文摘要
基于Schur函数的顶点操作员实现，获得了决定性型多型Murnaghan-Nakayama规则，并用于得出PlethySm Product中$S_ν$的$S_ν$的一般公式（P_ {N} \ circ h_ _ {k k {k k} $ $。同时，我们的代数规则与组合统治之间的等价也得到了建立。作为一个应用程序，我们提供了一种计算广义警告公式的简单方法。
Based on the vertex operator realization of the Schur functions, a determinant-type plethystic Murnaghan--Nakayama rule is obtained and utilized to derive a general formula of the expansion coefficients of $s_ν$ in the plethysm product $(p_{n}\circ h_{k})s_μ$. Meanwhile, the equivalence between our algebraic rule and the combinatorial one is also established. As an application, we provide a simple way to compute the generalized Waring formula.
