Class Field Theory
《Class Field Theory》 · 印刷第 308 页紧群与其 Lie 代数的记号约定；第 401 页 Section 13.8「The Center of K」，Corollary 13.43 后的 adjoint group 定义句
Throughout the chapter, we assume that $K$ is a connected, compact matrix Lie group with Lie algebra $\mathfrak k$. […] Let us define the adjoint group associated to $K$ to be the image of $K$ under the adjoint representation $\operatorname{Ad}:K\to GL(\mathfrak k)$.