Question

Computing the pull back of and element of $\mathfrak{so}(3)$ to the tangent space $SO(3)$ in (some) local coordinates

score 105 · Answer 1 · 2026-04-15 22:47:17

105

Views

Computing the pull back of and element of $\mathfrak{so}(3)$ to the tangent space $SO(3)$ in (some) local coordinates

Published on 15 Apr 2026 - 22:47

score 151 · Answer 2 · 2026-04-14 09:39:39

151

Views

What is the dimension of the Euclidean motion groups?

Published on 14 Apr 2026 - 9:39

score 90 · Answer 3 · 2026-04-12 18:33:35

90

Views

Do there exist non-maximal Isometry groups on $\mathbb R^3$ induced by a homogeneous metric?

Published on 12 Apr 2026 - 18:33

score 260 · Answer 4 · 2017-10-07 11:36:08

260

Views

Covering Maps Abelian Lie groups

Published on 07 Oct 2017 - 11:36

score 61 · Answer 5 · 2026-04-12 18:16:55

61

Views

Matrix Lie groups

Published on 12 Apr 2026 - 18:16

score 168 · Answer 6 · 2026-04-14 15:01:38

168

Views

Homomorphism of matrix groups is determined by its differential

Published on 14 Apr 2026 - 15:01

score 135 · Answer 7 · 2026-04-12 16:51:44

135

Views

Basis vectors for matrix groups?

Published on 12 Apr 2026 - 16:51

score 98 · Answer 8 · 2026-04-10 11:32:24

98

Views

Is $ SL_2(\mathbb{O})$ a Lie group?

Published on 10 Apr 2026 - 11:32

score 292 · Answer 9 · 2026-04-13 04:06:47

292

Views

Explicit form of generators of a Lie algebra in the adjoint representation

Published on 13 Apr 2026 - 4:06

score 1.1k · Answer 10 · 2026-04-12 09:04:25

1.1k

Views

Group action induces a homomorphism between Lie algebras

Published on 12 Apr 2026 - 9:04

score 64 · Answer 11 · 2026-04-16 14:55:45

64

Views

Why is the map $G \to \text{T}G, x \to d(L_x)_e(X)$ smooth for lie group $G$?

Published on 16 Apr 2026 - 14:55

score 242 · Answer 12 · 2026-04-17 15:31:16

242

Views

Why is $\operatorname{SO}(p,q)$ isomorphic to $\operatorname{SO}(q,p)$?

Published on 17 Apr 2026 - 15:31

score 464 · Answer 13 · 2026-04-14 11:12:07

464

Views

Isomorphic representations of a Lie Algebra

Published on 14 Apr 2026 - 11:12

score 743 · Answer 14 · 2026-04-11 01:34:17

743

Views

Can a Lie group be a manifold with boundary?

Published on 11 Apr 2026 - 1:34

score 977 · Answer 15 · 2026-04-16 12:33:55

977

Views

Lie bracket of left-invariant vector fields is left-invariant

Published on 16 Apr 2026 - 12:33

List Question

Computing the pull back of and element of $\mathfrak{so}(3)$ to the tangent space $SO(3)$ in (some) local coordinates

What is the dimension of the Euclidean motion groups?

Do there exist non-maximal Isometry groups on $\mathbb R^3$ induced by a homogeneous metric?

Covering Maps Abelian Lie groups

Matrix Lie groups

Homomorphism of matrix groups is determined by its differential

Basis vectors for matrix groups?

Is $ SL_2(\mathbb{O})$ a Lie group?

Explicit form of generators of a Lie algebra in the adjoint representation

Group action induces a homomorphism between Lie algebras

Why is the map $G \to \text{T}G, x \to d(L_x)_e(X)$ smooth for lie group $G$?

Why is $\operatorname{SO}(p,q)$ isomorphic to $\operatorname{SO}(q,p)$?

Isomorphic representations of a Lie Algebra

Can a Lie group be a manifold with boundary?

Lie bracket of left-invariant vector fields is left-invariant

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