Question

The connected component of a lie group $G$ containing identity is an open set.

score 1.6k · Answer 1 · 2016-07-30 14:58:22

1.6k

Views

The connected component of a lie group $G$ containing identity is an open set.

Published on 30 Jul 2016 - 14:58

score 338 · Answer 2 · 2016-07-30 15:16:13

338

Views

$G$ is a abelian if and only if $\mathfrak g$ is abelian?

Published on 30 Jul 2016 - 15:16

score 1.2k · Answer 3 · 2016-07-30 15:31:08

1.2k

Views

What can we say about connected groups with the same Lie algebra?

Published on 30 Jul 2016 - 15:31

score 1.7k · Answer 4 · 2016-07-30 21:05:28

1.7k

Views

The orthogonal group $O(q)$ associated with a quadratic form $A$

Published on 30 Jul 2016 - 21:05

score 364 · Answer 5 · 2016-07-30 21:41:04

364

Views

Exponential map of a Lie group around $0$

Published on 30 Jul 2016 - 21:41

score 131 · Answer 6 · 2026-03-28 01:13:32

131

Views

Isomorphism between $O(2n,\mathbb{R})$ and $O(n,n,\mathbb{R})$ and same question for their Lie algbera

Published on 28 Mar 2026 - 1:13

score 167 · Answer 7 · 2026-03-30 12:40:12

167

Views

Transforming Jacobians using the chain rule for composed functions when SE(2) and SO(2) Lie-Group arguments are involved.

Published on 30 Mar 2026 - 12:40

score 1k · Answer 8 · 2026-03-27 07:50:45

1k

Views

Most general definition of Borel and parabolic Lie algebras?

Published on 27 Mar 2026 - 7:50

score 448 · Answer 9 · 2026-03-26 16:09:47

448

Views

Every compact Lie subgroup of $GL(n, \mathbb{R})$ is conjugate into $O(n)$

Published on 26 Mar 2026 - 16:09

score 695 · Answer 10 · 2026-03-25 03:02:47

695

Views

Number of fixed points of torus action over partial flag variety

Published on 25 Mar 2026 - 3:02

score 124 · Answer 11 · 2016-08-02 16:57:40

124

Views

What subalgebras does the exceptional Lie algebra $\mathfrak{g}_2$ have?

Published on 02 Aug 2016 - 16:57

score 1k · Answer 12 · 2016-08-03 04:26:59

1k

Views

If $G$ is a Lie group, is $[G,G]$ always Lie subgroup

Published on 03 Aug 2016 - 4:26

score 2.7k · Answer 13 · 2016-08-03 10:56:10

2.7k

Views

Understanding the structure of $SO(3)$ as a manifold

Published on 03 Aug 2016 - 10:56

score 55 · Answer 14 · 2016-08-03 14:33:16

55

Views

What are the orbits of a irreducible $m$ dimensional representation of SO(3)

Published on 03 Aug 2016 - 14:33

score 119 · Answer 15 · 2026-03-24 01:48:06

119

Views

First prolongation and torsion of the symplectic Lie algebra

Published on 24 Mar 2026 - 1:48

List Question

The connected component of a lie group $G$ containing identity is an open set.

$G$ is a abelian if and only if $\mathfrak g$ is abelian?

What can we say about connected groups with the same Lie algebra?

The orthogonal group $O(q)$ associated with a quadratic form $A$

Exponential map of a Lie group around $0$

Isomorphism between $O(2n,\mathbb{R})$ and $O(n,n,\mathbb{R})$ and same question for their Lie algbera

Transforming Jacobians using the chain rule for composed functions when SE(2) and SO(2) Lie-Group arguments are involved.

Most general definition of Borel and parabolic Lie algebras?

Every compact Lie subgroup of $GL(n, \mathbb{R})$ is conjugate into $O(n)$

Number of fixed points of torus action over partial flag variety

What subalgebras does the exceptional Lie algebra $\mathfrak{g}_2$ have?

If $G$ is a Lie group, is $[G,G]$ always Lie subgroup

Understanding the structure of $SO(3)$ as a manifold

What are the orbits of a irreducible $m$ dimensional representation of SO(3)

First prolongation and torsion of the symplectic Lie algebra

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