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Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.

5 votes
1 answer
312 views

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 …
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1 vote
1 answer
360 views

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 …
AThomas's user avatar
  • 617