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5 votes
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Specify the embedding of Lie groups (via the representation map) precisely as the embedding of two differentiable manifolds

How do we specify the embedding of a Lie group $G_1$ as a subgroup into a larger Lie group $G_2$, with $G_1 \subset G_2$ that agree with a constraint on the mapping between their representations? By ...
wonderich's user avatar
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2 votes
3 answers
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Space of representations of surface group into Lie groups

In the context of Goldman's paper The symplectic nature of fundamental groups of surfaces: Consider a closed oriented surface $S$ with fundamental group $\pi$, and let $G$ be a connected Lie group. ...
Zineb mazouzi's user avatar