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Results tagged with lie-groups
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user 14171
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
2
votes
Lie Groups and Manifolds
Just to comment on the relation between S^2 and SO(3) :
there is indeed, for symmetric spaces, a natural correspondence between them and Lie groups, which in particular gives the S^2-SO(3) pair.
A s …
- 399
3
votes
1
answer
462
views
How can one find generators of basic differential forms on homogeneous spaces?
Dear all,
In short, my problem is that I would like to have a better control of the 1-forms on a homogeneous space. Contrary to the group case, the module of differential form is not trivialisable. …
- 399
3
votes
2
answers
234
views
Reconstructing a Lie group Banach representation from the Lie algebra rep. on analytic vectors
Dear all,
I have some difficulties with the following assertion in the book of Kirillov.
Let $G$ be a connected Lie group, and T a given (!) representation of G on a Banach space V.
Let $V^\omega$ b …
- 399