Question

Is a connected simply connected compact Lie group perfect?

score 115 · Answer 1 · 2026-04-12 20:50:30

115

Views

Is a connected simply connected compact Lie group perfect?

Published on 12 Apr 2026 - 20:50

score 90 · Answer 2 · 2026-04-09 20:24:32

90

Views

Integration of a hermitian matrix using the Haar measure

Published on 09 Apr 2026 - 20:24

score 107 · Answer 3 · 2026-04-10 20:46:10

107

Views

How can one obtain the resulting 3D rotation matrix by "integrating" over some time-dependent angular velocity vector?

Published on 10 Apr 2026 - 20:46

score 74 · Answer 4 · 2026-04-11 23:08:48

74

Views

Integrating adjoint representation over compact Lie group

Published on 11 Apr 2026 - 23:08

score 117 · Answer 5 · 2026-04-12 22:50:10

117

Views

Why the Jacobi identity and the commutator as the lie bracket?

Published on 12 Apr 2026 - 22:50

score 147 · Answer 6 · 2023-06-19 18:56:06

147

Views

Does every connected Lie group have a dense torsion-free subgroup?

Published on 19 Jun 2023 - 18:56

score 100 · Answer 7 · 2026-04-13 03:19:44

100

Views

Is every Lie group a cover of a matrix Lie group?

Published on 13 Apr 2026 - 3:19

score 54 · Answer 8 · 2026-03-25 14:36:50

54

Views

Decomposition of $L^2(G)$ related to Peter Weyl Theorem involving induced representations

Published on 25 Mar 2026 - 14:36

score 116 · Answer 9 · 2026-03-29 03:36:34

116

Views

The semidirect product of $\Bbb R^*$ and $\Bbb R$ is isomorphic to the group of upper-triangular real 2-by-2 matrices with determinant 1.

Published on 29 Mar 2026 - 3:36

score 55 · Answer 10 · 2026-04-12 22:54:04

55

Views

A question about the centralizer structure of a nilpotent element of a semsimple Lie Algebra

Published on 12 Apr 2026 - 22:54

score 218 · Answer 11 · 2026-04-12 22:50:06

218

Views

What is the kernel of $SL_2(C)\to SO_3(C)$

Published on 12 Apr 2026 - 22:50

score 34 · Answer 12 · 2026-03-25 14:31:38

34

Views

Classifying the core-free Lie subgroups $G$ or some Lie group $H$

Published on 25 Mar 2026 - 14:31

score 40 · Answer 13 · 2026-04-12 22:55:28

40

Views

About Lie algebras and the corresponding lie groups

Published on 12 Apr 2026 - 22:55

score 135 · Answer 14 · 2026-04-13 00:20:05

135

Views

The list of connected subgroups of $SL(2,\mathbb{R})$

Published on 13 Apr 2026 - 0:20

score 76 · Answer 15 · 2026-04-12 21:46:17

76

Views

Why is adding/subtracting allowed in the limit definition of derivatives when you're taking a derivative in a matrix Lie group?

Published on 12 Apr 2026 - 21:46

List Question

Is a connected simply connected compact Lie group perfect?

Integration of a hermitian matrix using the Haar measure

How can one obtain the resulting 3D rotation matrix by "integrating" over some time-dependent angular velocity vector?

Integrating adjoint representation over compact Lie group

Why the Jacobi identity and the commutator as the lie bracket?

Does every connected Lie group have a dense torsion-free subgroup?

Is every Lie group a cover of a matrix Lie group?

Decomposition of $L^2(G)$ related to Peter Weyl Theorem involving induced representations

The semidirect product of $\Bbb R^*$ and $\Bbb R$ is isomorphic to the group of upper-triangular real 2-by-2 matrices with determinant 1.

A question about the centralizer structure of a nilpotent element of a semsimple Lie Algebra

What is the kernel of $SL_2(C)\to SO_3(C)$

Classifying the core-free Lie subgroups $G$ or some Lie group $H$

About Lie algebras and the corresponding lie groups

The list of connected subgroups of $SL(2,\mathbb{R})$

Why is adding/subtracting allowed in the limit definition of derivatives when you're taking a derivative in a matrix Lie group?

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