Question

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

score 82 · Answer 1 · 2026-03-26 17:38:22

82

Views

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

Published on 26 Mar 2026 - 17:38

score 110 · Answer 2 · 2026-04-12 00:44:50

110

Views

What is the geometry of $SU(2)$? How do representations change this?

Published on 12 Apr 2026 - 0:44

score 65 · Answer 3 · 2026-04-09 08:25:54

65

Views

Fundmental groups of matrix groups and covering relation between them

Published on 09 Apr 2026 - 8:25

score 42 · Answer 4 · 2026-04-13 13:42:11

42

Views

Semisimple Lie groups with infinite center

Published on 13 Apr 2026 - 13:42

score 62 · Answer 5 · 2026-03-26 17:34:31

62

Views

Is there any spin group $Spin(n)$ for any value of $n$ which is isomorphic to $SU(3)$?

Published on 26 Mar 2026 - 17:34

score 43 · Answer 6 · 2026-04-13 15:36:50

43

Views

A continuous action of a compact topological group on a Hausdorff space is proper

Published on 13 Apr 2026 - 15:36

score 97 · Answer 7 · 2026-04-13 13:44:48

97

Views

$M/\Bbb R$ is not Hausdorf and becomes a manifold upon removing four well-chosen points, $M = \Bbb R^2 \setminus \{(0; 0)\}$

Published on 13 Apr 2026 - 13:44

score 94 · Answer 8 · 2026-04-13 14:02:50

94

Views

Writing 1-parameter group of transformations as a composition of commutative 1-parameter transformations

Published on 13 Apr 2026 - 14:02

score 64 · Answer 9 · 2026-03-25 11:04:54

64

Views

Equivalent of lens spaces $\mathbb{S}^3/\mathbb{Z}_n$ for $\mathbb{S}^7/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(2)$

Published on 25 Mar 2026 - 11:04

score 101 · Answer 10 · 2026-04-13 13:59:47

101

Views

Constructing Lie group from Lie algebra

Published on 13 Apr 2026 - 13:59

score 140 · Answer 11 · 2026-04-13 08:09:33

140

Views

Intuition behind the relationship between conjugation on a Lie group and the Lie bracket

Published on 13 Apr 2026 - 8:09

score 77 · Answer 12 · 2026-04-09 17:13:16

77

Views

Subgroup of $Sp(2n,\mathbb{R})$.

Published on 09 Apr 2026 - 17:13

score 48 · Answer 13 · 2026-03-26 21:26:14

48

Views

Generalizing the symplectic group via a trilinear invariant symbol

Published on 26 Mar 2026 - 21:26

score 77 · Answer 14 · 2026-03-28 08:17:19

77

Views

Help using LiE computer package?

Published on 28 Mar 2026 - 8:17

score 46 · Answer 15 · 2026-04-12 22:06:12

46

Views

A "direct geometric argument" that Z(SO(3)) is the trivial group.

Published on 12 Apr 2026 - 22:06

List Question

$\iota_{[X,Y]}\omega = \mathcal{L}_X\iota_Y\omega - \iota_Y\mathcal{L}_X\omega$ for every $X, Y \in \mathfrak{X}(M)$ and $\omega \in \Omega^k(M)$.

What is the geometry of $SU(2)$? How do representations change this?

Fundmental groups of matrix groups and covering relation between them

Semisimple Lie groups with infinite center

Is there any spin group $Spin(n)$ for any value of $n$ which is isomorphic to $SU(3)$?

A continuous action of a compact topological group on a Hausdorff space is proper

$M/\Bbb R$ is not Hausdorf and becomes a manifold upon removing four well-chosen points, $M = \Bbb R^2 \setminus \{(0; 0)\}$

Writing 1-parameter group of transformations as a composition of commutative 1-parameter transformations

Equivalent of lens spaces $\mathbb{S}^3/\mathbb{Z}_n$ for $\mathbb{S}^7/\Gamma$ where $\Gamma$ is a finite subgroup of $SU(2)$

Constructing Lie group from Lie algebra

Intuition behind the relationship between conjugation on a Lie group and the Lie bracket

Subgroup of $Sp(2n,\mathbb{R})$.

Generalizing the symplectic group via a trilinear invariant symbol

Help using LiE computer package?

A "direct geometric argument" that Z(SO(3)) is the trivial group.

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