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Results tagged with group-actions
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user 12482
3
votes
Looking for interesting actions that are not representations
In addition to what has been said already: I think that everywhere in Mathematics when you speak of symmetries you mean "group plus action" and not just the group itself.
The thoughts about symmetry …
- 8,098
0
votes
What is the standard notation for group action
IN addition to what has been said, I would like to mention the following aspect: a group action usually does not come alone. When $G$ acts on a set $X$ you will almost for sure be interested also in t …
10
votes
How special are homogeneous spaces?
I suppose you want the action to be transitive as your title suggests. In this case, a classical theorem of Mostow (in 1950 for surfaces, in 2005 in general) says that for a compact homogeneous space …
- 8,098