Abstract

In the present article, we explicitly compute the spectrum of the Laplace operator on smooth real-valued and complex-valued functions on connected compact simple Lie groups of rank four with a bi-invariant Riemannian metrics that correspond to the root systems \(A_4 \) and \(F_4 \).

中文翻译：

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秩为4的连通紧简单李群上的Laplace算子的谱。II

摘要

在本文中，我们显式地计算了四阶连通紧的简单Lie群上具有对应于根系统\（A_4 \的双不变黎曼度量）的光滑实值和复值函数上的Laplace算子的谱。 ）和\（F_4 \）。