Question

Lie group representation $\rho$ completely reducible iff $d\rho$ is completely reducible

score 177 · Answer 1 · 2016-11-11 10:10:34

177

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Lie group representation $\rho$ completely reducible iff $d\rho$ is completely reducible

Published on 11 Nov 2016 - 10:10

score 79 · Answer 2 · 2026-03-28 05:21:58

79

Views

Why Does the Stabilizer of a Point Detect Singularities

Published on 28 Mar 2026 - 5:21

score 163 · Answer 3 · 2026-04-06 23:32:58

163

Views

Some details in proof of SO(n) is product of reflection

Published on 06 Apr 2026 - 23:32

score 866 · Answer 4 · 2016-11-13 08:03:50

866

Views

Is there a classification of non-compact Lie Groups? I am interested specifically in subgroups of GL(n,R).

Published on 13 Nov 2016 - 8:03

score 105 · Answer 5 · 2016-11-13 16:46:45

105

Views

Let $G$ be Lie group. Show that $\left.d\left(L_{exp(X)^{-1}}\circ \exp\right)\right|_{X}Y= \frac{1+\exp(\mbox{ad}(X))}{\mbox{ad}(X)}(Y)$

Published on 13 Nov 2016 - 16:46

score 103 · Answer 6 · 2016-11-16 00:09:33

103

Views

Distribution-free statistics on compact Lie groups

Published on 16 Nov 2016 - 0:09

score 241 · Answer 7 · 2016-11-16 03:15:12

241

Views

Formula for product of matrix exponential, commutator, converging sequence.

Published on 16 Nov 2016 - 3:15

score 36 · Answer 8 · 2026-03-27 03:58:05

36

Views

Why is the following derivation on differential map between 2 Riemannian manifold valid?

Published on 27 Mar 2026 - 3:58

score 103 · Answer 9 · 2016-11-16 09:51:28

103

Views

Cheap proof that $\mathrm{SO}(3)$ contains a rank $2$ free subgroup

Published on 16 Nov 2016 - 9:51

score 557 · Answer 10 · 2016-11-16 11:04:23

557

Views

Please suggest YouTube lecture on Lie algebra

Published on 16 Nov 2016 - 11:04

score 522 · Answer 11 · 2026-04-01 13:45:43

522

Views

The holonomy group is a Lie group

Published on 01 Apr 2026 - 13:45

score 87 · Answer 12 · 2026-03-26 23:09:15

87

Views

Adjoint representation of $Iso(\mathbb{R}^n)$ on $\mathfrak{iso}(\mathbb{R}^n)$

Published on 26 Mar 2026 - 23:09

score 153 · Answer 13 · 2016-11-17 20:48:22

153

Views

Prove the radical $N$ is nilpotent.

Published on 17 Nov 2016 - 20:48

score 26 · Answer 14 · 2016-11-18 19:22:57

26

Views

If $\{\alpha_1,\dots,\alpha_n\}$ is a basis of simple roots, so is $\{-\alpha_1,\dots,-\alpha_n\}$

Published on 18 Nov 2016 - 19:22

score 78 · Answer 15 · 2026-03-26 06:16:37

78

Views

Induced homomorphism $d\rho:\mathfrak{spin}(V)\rightarrow \mathfrak{so}(V)$

Published on 26 Mar 2026 - 6:16

List Question

Lie group representation $\rho$ completely reducible iff $d\rho$ is completely reducible

Why Does the Stabilizer of a Point Detect Singularities

Some details in proof of SO(n) is product of reflection

Is there a classification of non-compact Lie Groups? I am interested specifically in subgroups of GL(n,R).

Let $G$ be Lie group. Show that $\left.d\left(L_{exp(X)^{-1}}\circ \exp\right)\right|_{X}Y= \frac{1+\exp(\mbox{ad}(X))}{\mbox{ad}(X)}(Y)$

Distribution-free statistics on compact Lie groups

Formula for product of matrix exponential, commutator, converging sequence.

Why is the following derivation on differential map between 2 Riemannian manifold valid?

Cheap proof that $\mathrm{SO}(3)$ contains a rank $2$ free subgroup

Please suggest YouTube lecture on Lie algebra

The holonomy group is a Lie group

Adjoint representation of $Iso(\mathbb{R}^n)$ on $\mathfrak{iso}(\mathbb{R}^n)$

Prove the radical $N$ is nilpotent.

If $\{\alpha_1,\dots,\alpha_n\}$ is a basis of simple roots, so is $\{-\alpha_1,\dots,-\alpha_n\}$

Induced homomorphism $d\rho:\mathfrak{spin}(V)\rightarrow \mathfrak{so}(V)$

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