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Results tagged with lie-groups
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user 25511
Lie Groups are Groups that are additionally smooth manifolds such that the multiplication and the inverse maps are smooth.
6
votes
1
answer
212
views
Is the braid group with $n$ strings $\mathcal{B}_n$ a lattice in a connected semi-simple Lie...
Is the braid group with $n$ strings $\mathcal{B}_n$ known to be a lattice in a connected semi-simple Lie group ? (for $n$, say, bigger than $3$)
Or is it known that it cannot be such a lattice ?
- 2,696
5
votes
1
answer
328
views
Irreducible representations containing simple actions of $\mathrm{SL}(2,\mathbb{C})$
Let $G$ be a complex semisimple Lie group and let $\rho: G \longrightarrow \mathrm{SL}(n,\mathbb{C})$ be a faithful irreducible representation of $G$ with $n \geq 3$. Suppose that $G$ contains a copy …
- 2,696
4
votes
2
answers
667
views
Maximal subgroups of $\mathrm{SL}(n,\mathbb{R})$
I would like to find a list (or at least a description) of the maximal closed connected subgroups of $\mathrm{SL}(n, \mathbb{R})$ , and also of $\mathrm{SU}(p,q)$.
In the following MO discussion is i …
- 2,696
1
vote
0
answers
72
views
Volume form preserved by the action of $\mathrm{PGL(n+1, \mathbb{R}})$ on $\mathbf{P}^n(\mat...
I know this is quite an elementary question but I am not an expert in Lie theory.
Does the action of $\mathrm{PGL(n+1, \mathbb{R}})$ on $\mathbf{P}^n(\mathbb{C}) \setminus \mathbf{P}^n(\mathbb{R}) $ …
- 2,696