Question

Non-trivial isometries of the left invariant metric on $GL_n$

score 358 · Answer 1 · 2026-03-29 03:36:54

358

Views

Non-trivial isometries of the left invariant metric on $GL_n$

Published on 29 Mar 2026 - 3:36

score 320 · Answer 2 · 2026-03-29 07:19:38

320

Views

Compute $ad_X$, $ad_Y$, and $ad_Z$ relative to a basis

Published on 29 Mar 2026 - 7:19

score 63 · Answer 3 · 2026-04-16 08:09:36

63

Views

Show that $ (\pi(g)\phi)(v)=\phi({^t}gv) $ defines a representation

Published on 16 Apr 2026 - 8:09

score 47 · Answer 4 · 2026-04-15 10:48:05

47

Views

Adjoint matrix in $\mathbb{so_3}$

Published on 15 Apr 2026 - 10:48

score 584 · Answer 5 · 2026-04-15 23:24:07

584

Views

The Lie algebra of the generalized unitary group $\{g \in GL_n(\mathbb{C}) : gS\bar{g}^t=S\}$ is $\{XS+S\overline{X}{}^t=0\}$

Published on 15 Apr 2026 - 23:24

score 630 · Answer 6 · 2026-03-27 09:57:06

630

Views

Commutation relation between su(N) and clifford algebra generators.

Published on 27 Mar 2026 - 9:57

score 168 · Answer 7 · 2026-04-12 03:56:21

168

Views

How to construct free subgroup of SO(3) using Baire's Theorem?

Published on 12 Apr 2026 - 3:56

score 511 · Answer 8 · 2026-04-16 10:10:34

511

Views

Why can we find a basis for the elements of the Lie algebra?

Published on 16 Apr 2026 - 10:10

score 103 · Answer 9 · 2026-04-19 13:07:01

103

Views

Differentiability of an action of the group of invertible elements of a $C^{*}$-algebra $\mathcal{A}$ on the dual of $\mathcal{A}$

Published on 19 Apr 2026 - 13:07

score 41 · Answer 10 · 2026-04-12 20:13:35

41

Views

Is there a harmonic analysis theory for the group of strictly increasing continuous invertibe functions from $\mathbb{R} \mapsto \mathbb{R}$

Published on 12 Apr 2026 - 20:13

score 2.1k · Answer 11 · 2026-04-12 13:27:21

2.1k

Views

Is the fixed point set of an action a submanifold?

Published on 12 Apr 2026 - 13:27

score 446 · Answer 12 · 2026-04-19 13:02:39

446

Views

References for actions of infinite-dimensional Banach-Lie groups on infinite-dimensional Banach manifolds

Published on 19 Apr 2026 - 13:02

score 406 · Answer 13 · 2026-04-15 11:51:46

406

Views

Proving that Lie groups are locally connected

Published on 15 Apr 2026 - 11:51

score 182 · Answer 14 · 2026-04-16 12:32:15

182

Views

Why does $(X_a,Y_b)(f\circ \mu(a,b)) = X_a(f\circ R_b(a)) + Y_b(f\circ L_a(b))$?

Published on 16 Apr 2026 - 12:32

score 6.4k · Answer 15 · 2026-04-28 14:21:07

6.4k

Views

Differential of the multiplication and inverse maps on a Lie group

Published on 28 Apr 2026 - 14:21

List Question

Non-trivial isometries of the left invariant metric on $GL_n$

Compute $ad_X$, $ad_Y$, and $ad_Z$ relative to a basis

Show that $ (\pi(g)\phi)(v)=\phi({^t}gv) $ defines a representation

Adjoint matrix in $\mathbb{so_3}$

The Lie algebra of the generalized unitary group $\{g \in GL_n(\mathbb{C}) : gS\bar{g}^t=S\}$ is $\{XS+S\overline{X}{}^t=0\}$

Commutation relation between su(N) and clifford algebra generators.

How to construct free subgroup of SO(3) using Baire's Theorem?

Why can we find a basis for the elements of the Lie algebra?

Differentiability of an action of the group of invertible elements of a $C^{*}$-algebra $\mathcal{A}$ on the dual of $\mathcal{A}$

Is there a harmonic analysis theory for the group of strictly increasing continuous invertibe functions from $\mathbb{R} \mapsto \mathbb{R}$

Is the fixed point set of an action a submanifold?

References for actions of infinite-dimensional Banach-Lie groups on infinite-dimensional Banach manifolds

Proving that Lie groups are locally connected

Why does $(X_a,Y_b)(f\circ \mu(a,b)) = X_a(f\circ R_b(a)) + Y_b(f\circ L_a(b))$?

Differential of the multiplication and inverse maps on a Lie group

Trending Questions

Popular # Hahtags

Popular Questions