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- For a general twisted conjugate action, the orbit space can be expressed as the nonabelian cohomology of the infinite cyclic group. 对于一般的扭共轭作用，其轨道空间可以表示为无限循环群的非交换上同调。
- This generalizes the usual notion of conjugate action, and reduces to the usual conjugate action if the automorphism involved is the identity. 这是李群的共轭作用的推广。
- Any symmetric space corresponds to a Lie group and an involution of it.The associated twisted conjugate action is related to the involution. 每个对称空间对应着一个李群及这个李群的一个对合自同构，相应的扭共轭作用与这个对合自同构有关。
- Many properties of twisted conjugate actions can be expressed by the language of nonabelian cohomology, and vise versa. 扭共轭作用的很多性质可以用非交换上同调的语言来表述，反之亦然。
- But twisted conjugate actions of Lie groups have closed relation with nonabelian cohomology of cyclic groups with coefficients in Lie groups. 而李群的扭共轭作用与循环群以李群为系数的非交换上同调有非常密切的关系。
- In particular, we prove that there are only finitely many equivalence classes for twisted conjugate actions for semisimple Lie groups. 特别地，我们证明了连通半单李群的扭共轭作用只有有限多个等价类。
- Applying a property of orbit structures of twisted conjugate actions to involutions, we then get the aforementioned equivariant embedding of symmetric spaces in Lie groups. 利用本文中证明的李群扭共轭作用的轨道性质，将扭共轭作用中的自同构取为对合自同构，我们就得到了如上所述的对称空间在李群中的等变嵌入。
- It is expected that those algebraic methods also apply to questions on nonabelian cohomology with coefficients in Lie groups, and then we can get information of twisted conjugate actions. 可以预期，这些代数方法也可以用来研究李群系数的非交换上同调的性质，从而得到李群扭共轭作用的性质。
- He is a very good footballer; you ought to see him in action. 他是一位出色的足球运动员，你应该看他踢球。
- The article is a savage attack on her past action. 那篇文章对她过去的行为进行了恶毒的攻击。
- Large air and navel forces were set into action. 庞大的空军和海军部队开始行动了。
- Are you men ready? We go into action at midnight. 战士们，你们准备好了吗？我们半夜按计开始行动。
- Her action declared her to be an honest woman. 她的行为足以说明她是一个诚实的女人。
- The engine of the car is out of action. 这辆小汽车的发动机出了故障。
- Mr Powel has marked out a general course of action. 鲍威尔先生已经拟定了一个总的行动计划。
- If the enemy attacks, take evasive action. 如果敌人进攻，就避其锋芒。
- The action of the strikers was unjustified. 罢工者的行为是不合理的。
- His action was not completely disinterested. 他的行为并不完全公正。
- He is a man gentle in manner but firm in action. 他是一个举止文雅但行动坚决的人。
- He is ashamed for his former dishonourable action. 他对他以前不光彩的行为感到羞愧。
