Question

Calculating the differential of the inverse of matrix exp?

score 153 · Answer 1 · 2026-04-13 02:25:08

153

Views

Calculating the differential of the inverse of matrix exp?

Published on 13 Apr 2026 - 2:25

score 504 · Answer 2 · 2026-03-26 01:12:38

504

Views

Let $G$ be a Lie group and $H$ be a closed subgroup of $G$. Show that if $H$ and homogeneous space $\frac{G}{H}$ are connected, then $G$ is connected.

Published on 26 Mar 2026 - 1:12

score 228 · Answer 3 · 2026-04-16 03:48:53

228

Views

Compute the associated induced Lie algebra action $\text{d}\pi$

Published on 16 Apr 2026 - 3:48

score 999 · Answer 4 · 2026-04-13 22:41:11

999

Views

what's the universal covering group of general linear group $GL(n,\mathbb{R})$ and $GL(n,\mathbb{C})$

Published on 13 Apr 2026 - 22:41

score 51 · Answer 5 · 2026-04-16 21:01:32

51

Views

Show that $\left.\dfrac{d}{d s}\right|_{s=0}X_\eta (m)(f\circ \varphi_{\exp(s\xi )})=(X_\eta f)_{*,m}(X_\xi (m))$

Published on 16 Apr 2026 - 21:01

score 524 · Answer 6 · 2026-04-12 04:03:22

524

Views

Do I understand the Chevalley Restriction Theorem correctly?

Published on 12 Apr 2026 - 4:03

score 394 · Answer 7 · 2026-05-02 08:21:39

394

Views

Why Bi invariant metric on noncompact lie group doesn't exist??

Published on 02 May 2026 - 8:21

score 62 · Answer 8 · 2026-04-12 02:45:31

62

Views

In what condition, the universal covering group of some matrix Lie group is still a matrix Lie group.

Published on 12 Apr 2026 - 2:45

score 154 · Answer 9 · 2026-04-13 09:54:24

154

Views

Is this covering group $G'$ of $G$ unique?

Published on 13 Apr 2026 - 9:54

score 33 · Answer 10 · 2026-04-15 07:16:19

33

Views

$S^1$ acting on $SO(n+1)/SO(n-1)$ by translations

Published on 15 Apr 2026 - 7:16

score 698 · Answer 11 · 2026-03-27 11:24:31

698

Views

Lie group structures inside of Clifford algebras

Published on 27 Mar 2026 - 11:24

score 1.4k · Answer 12 · 2026-04-13 16:10:58

1.4k

Views

Quotient by a discrete subgroup of a Lie group

Published on 13 Apr 2026 - 16:10

score 92 · Answer 13 · 2026-04-13 17:04:16

92

Views

Can we discribe a Lie group action from some local property?

Published on 13 Apr 2026 - 17:04

score 151 · Answer 14 · 2026-04-16 12:21:10

151

Views

Fixed-point subspace of $O(2)^-$, a subgroup of $O(3)$

Published on 16 Apr 2026 - 12:21

score 3.6k · Answer 15 · 2026-04-06 09:11:56

3.6k

Views

Relations between center (fundamental group) and (co)root and weight lattices for Lie groups

Published on 06 Apr 2026 - 9:11

List Question

Calculating the differential of the inverse of matrix exp?

Let $G$ be a Lie group and $H$ be a closed subgroup of $G$. Show that if $H$ and homogeneous space $\frac{G}{H}$ are connected, then $G$ is connected.

Compute the associated induced Lie algebra action $\text{d}\pi$

what's the universal covering group of general linear group $GL(n,\mathbb{R})$ and $GL(n,\mathbb{C})$

Show that $\left.\dfrac{d}{d s}\right|_{s=0}X_\eta (m)(f\circ \varphi_{\exp(s\xi )})=(X_\eta f)_{*,m}(X_\xi (m))$

Do I understand the Chevalley Restriction Theorem correctly?

Why Bi invariant metric on noncompact lie group doesn't exist??

In what condition, the universal covering group of some matrix Lie group is still a matrix Lie group.

Is this covering group $G'$ of $G$ unique?

$S^1$ acting on $SO(n+1)/SO(n-1)$ by translations

Lie group structures inside of Clifford algebras

Quotient by a discrete subgroup of a Lie group

Can we discribe a Lie group action from some local property?

Fixed-point subspace of $O(2)^-$, a subgroup of $O(3)$

Relations between center (fundamental group) and (co)root and weight lattices for Lie groups

Trending Questions

Popular # Hahtags

Popular Questions