Lie Groups Beyond an Introduction
《Lie Groups Beyond an Introduction》 · 印刷第 105 页 Chapter I Section 15「Semidirect Products of Lie Groups」末尾，三类连通 Lie 群的联合定义及完整词形说明句
A Lie group is said to be solvable, nilpotent, or semisimple if it is connected and if its Lie algebra is solvable, nilpotent, or semisimple, respectively. […] For the rest of this chapter, we shall consider special properties of solvable, nilpotent, and semisimple Lie groups.