Question

On the correspondence between normal Lie subgroup and ideal of Lie algebras.

score 991 · Answer 1 · 2026-04-24 17:37:25

991

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On the correspondence between normal Lie subgroup and ideal of Lie algebras.

Published on 24 Apr 2026 - 17:37

score 38 · Answer 2 · 2026-04-16 03:48:56

38

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Is there any advantage to represent 3D rotations in $\mathrm{SU}(2)$ rather than $\mathrm{SO}(3)$?

Published on 16 Apr 2026 - 3:48

score 43 · Answer 3 · 2026-04-15 17:59:18

43

Views

If $\frak{g}$ = $span\lbrace{e_{1},e_{2}}\rbrace$ is a Lie algebra such that $[e_{1},e_{2}] = e_{1}$, show that $Der(\frak{g})$ = $ad(\frak{g})$.

Published on 15 Apr 2026 - 17:59

score 2.7k · Answer 4 · 2026-04-11 11:32:07

2.7k

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Orientability of Lie Group

Published on 11 Apr 2026 - 11:32

score 199 · Answer 5 · 2026-05-05 21:06:57

199

Views

$G$ a Lie group, $V, S$ submanifolds of $G$ containing $e$, $\psi : V \times S \rightarrow G$; $\psi(v,s)=vs$, then $d\psi(X,0)=X$ and $d\psi(0,Y)=Y$

Published on 05 May 2026 - 21:06

score 83 · Answer 6 · 2026-04-11 22:28:21

83

Views

Exercise of Lie subalgebra

Published on 11 Apr 2026 - 22:28

score 143 · Answer 7 · 2026-04-09 17:58:24

143

Views

Introduction to Deligne–Lusztig theory

Published on 09 Apr 2026 - 17:58

score 587 · Answer 8 · 2026-04-13 03:53:42

587

Views

Dimension of $SU(N)$

Published on 13 Apr 2026 - 3:53

score 273 · Answer 9 · 2026-04-14 07:08:02

273

Views

Computation of the differential of the multiplication map at $(e,e)$. Does the product rule hold in Lie Groups?

Published on 14 Apr 2026 - 7:08

score 96 · Answer 10 · 2026-04-14 05:54:23

96

Views

Derivative of the product of matrices

Published on 14 Apr 2026 - 5:54

score 719 · Answer 11 · 2026-04-08 20:07:39

719

Views

Finding the Generators of the Adjoint Representation

Published on 08 Apr 2026 - 20:07

score 156 · Answer 12 · 2026-04-15 01:17:12

156

Views

If $\frak{g}$ is a Lie algebra of finite dimension, why is $\operatorname{Aut}(\frak{g})$ a closed subgroup of $GL(\frak{g})$?

Published on 15 Apr 2026 - 1:17

score 1k · Answer 13 · 2026-04-14 21:04:43

1k

Views

Simply connected cover of $SO(2,\mathbb{R})$

Published on 14 Apr 2026 - 21:04

score 1.4k · Answer 14 · 2026-04-15 17:33:54

1.4k

Views

Determinant construction by exterior algebra and vector space orientations

Published on 15 Apr 2026 - 17:33

score 83 · Answer 15 · 2026-04-12 02:53:43

83

Views

Are palindromic triples of roots of any interest in algebraic group E6?

Published on 12 Apr 2026 - 2:53

List Question

On the correspondence between normal Lie subgroup and ideal of Lie algebras.

Is there any advantage to represent 3D rotations in $\mathrm{SU}(2)$ rather than $\mathrm{SO}(3)$?

If $\frak{g}$ = $span\lbrace{e_{1},e_{2}}\rbrace$ is a Lie algebra such that $[e_{1},e_{2}] = e_{1}$, show that $Der(\frak{g})$ = $ad(\frak{g})$.

Orientability of Lie Group

$G$ a Lie group, $V, S$ submanifolds of $G$ containing $e$, $\psi : V \times S \rightarrow G$; $\psi(v,s)=vs$, then $d\psi(X,0)=X$ and $d\psi(0,Y)=Y$

Exercise of Lie subalgebra

Introduction to Deligne–Lusztig theory

Dimension of $SU(N)$

Computation of the differential of the multiplication map at $(e,e)$. Does the product rule hold in Lie Groups?

Derivative of the product of matrices

Finding the Generators of the Adjoint Representation

If $\frak{g}$ is a Lie algebra of finite dimension, why is $\operatorname{Aut}(\frak{g})$ a closed subgroup of $GL(\frak{g})$?

Simply connected cover of $SO(2,\mathbb{R})$

Determinant construction by exterior algebra and vector space orientations

Are palindromic triples of roots of any interest in algebraic group E6?

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