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Results tagged with group-actions
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user 7311
10
votes
Looking for interesting actions that are not representations
One of the most important way of getting Lie transformation groups (the one that motivated Sophus Lie in the first place) is to look at the group of symmetries of a smooth manifold with some "extra st …
- 15.3k
14
votes
What is the standard notation for group action
I guess I am somewhat of a minimalist when it comes to notation. I have spent a lot of my career writing about group actions, and what I usually have done is start out defining what a group action is, …
17
votes
1
answer
500
views
Is a smooth action of a semi-simple Lie group linearizable near a stationary point?
Suppose that $G$ is a semi-simple Lie group that acts smoothly (i.e., $C^\infty$) on a smooth, finite dimensional manifold $M$. Does it follow that the action of $G$ is linearizable near any stationar …
- 15.3k
9
votes
When do isometric actions exist?
I am sorry That I am getting involved so late. I was away at a meeting for two days. I have an old (1961) paper in the ANNALS OF MATH called "On the Existence of Slices for Actions of Non-Compact Lie …
- 15.3k