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Results tagged with lie-groups
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user 142627
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
1
vote
1
answer
360
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Connectedness of stabilizer of regular element
Let $\mathfrak{g}$ be a complex simple Lie algebra and $x \in \mathfrak{g}$ be a regular element, i.e. its centralizer is of minimal dimension.
Consider the adjoint action of the adjoint group $G$ (w …
- 617
5
votes
1
answer
312
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Moment map interpretation of Einstein equation
Einstein's famous equation relates the geometry of a (4-dimensional) manifold to the matter content in that manifold.
Is there a way to obtain Einstein's equation as a moment map?
More precisely, g …
- 617