Question

Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane

score 6.1k · Answer 1 · 2026-03-30 05:01:43

6.1k

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Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane

Published on 30 Mar 2026 - 5:01

score 2k · Answer 2 · 2026-03-27 03:48:19

2k

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Commuting matrix exponentials: necessary condition.

Published on 27 Mar 2026 - 3:48

score 659 · Answer 3 · 2026-04-06 19:11:12

659

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What is the dimension of $M/G$ if it is a manifold?

Published on 06 Apr 2026 - 19:11

score 795 · Answer 4 · 2026-03-30 04:56:35

795

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If a manifold has a transitive action by $G$, why is it equal to $G/\mathrm{stabiliser}$?

Published on 30 Mar 2026 - 4:56

score 167 · Answer 5 · 2026-04-06 05:23:32

167

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How to induce a metric on $S^3$ from the transitive group action of $SO(4)$?

Published on 06 Apr 2026 - 5:23

score 736 · Answer 6 · 2026-04-06 22:06:44

736

Views

Orthosymplectic Lie Superalgebra

Published on 06 Apr 2026 - 22:06

score 169 · Answer 7 · 2026-04-06 05:16:51

169

Views

Riemannian metric on Lie Groups and $S^n$

Published on 06 Apr 2026 - 5:16

score 91 · Answer 8 · 2026-03-28 15:35:47

91

Views

Is mean value property for all $r$ equivalent to mean value property for a specific $r$?

Published on 28 Mar 2026 - 15:35

score 759 · Answer 9 · 2016-08-24 21:26:37

759

Views

What is meant by an orthogonal action?

Published on 24 Aug 2016 - 21:26

score 759 · Answer 10 · 2026-04-01 18:52:41

759

Views

Isomorphism $SU(2)/{\pm 1} \leftrightarrow SO(3)$

Published on 01 Apr 2026 - 18:52

score 254 · Answer 11 · 2016-08-25 13:15:30

254

Views

Is the Lie bracket with an orthonormal basis $0$ always?

Published on 25 Aug 2016 - 13:15

score 2.2k · Answer 12 · 2016-08-26 04:08:33

2.2k

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How is the automorphism group of a Lie group given a differential structure?

Published on 26 Aug 2016 - 4:08

score 536 · Answer 13 · 2016-08-26 13:37:26

536

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Is every connected complex semisimple Lie group the complexification of a compact Lie group?

Published on 26 Aug 2016 - 13:37

score 214 · Answer 14 · 2026-03-26 14:21:07

214

Views

If $\frak{g}$ is a real Lie algebra, why is the Killing form of its comlexification is the same?

Published on 26 Mar 2026 - 14:21

score 70 · Answer 15 · 2016-08-28 04:07:44

70

Views

Find the linear approximation and the derivative of $m$ at $(A,B)\in \mbox{GL}(V)\times \mbox{GL}(V)$ where $m$ is "composition" map.

Published on 28 Aug 2016 - 4:07

List Question

Prove that $SL(2,\mathbb{R})$ acts transitively on the upper half plane

Commuting matrix exponentials: necessary condition.

What is the dimension of $M/G$ if it is a manifold?

If a manifold has a transitive action by $G$, why is it equal to $G/\mathrm{stabiliser}$?

How to induce a metric on $S^3$ from the transitive group action of $SO(4)$?

Orthosymplectic Lie Superalgebra

Riemannian metric on Lie Groups and $S^n$

Is mean value property for all $r$ equivalent to mean value property for a specific $r$?

What is meant by an orthogonal action?

Isomorphism $SU(2)/{\pm 1} \leftrightarrow SO(3)$

Is the Lie bracket with an orthonormal basis $0$ always?

How is the automorphism group of a Lie group given a differential structure?

Is every connected complex semisimple Lie group the complexification of a compact Lie group?

If $\frak{g}$ is a real Lie algebra, why is the Killing form of its comlexification is the same?

Find the linear approximation and the derivative of $m$ at $(A,B)\in \mbox{GL}(V)\times \mbox{GL}(V)$ where $m$ is "composition" map.

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