Question

Invariant $SU(3)$ subgroup for ${\bf 8}$ in ${\bf 3}^* \otimes {\bf 3} ={\bf 1} \oplus {\bf 8}$

score 122 · Answer 1 · 2026-03-25 23:38:30

122

Views

Invariant $SU(3)$ subgroup for ${\bf 8}$ in ${\bf 3}^* \otimes {\bf 3} ={\bf 1} \oplus {\bf 8}$

Published on 25 Mar 2026 - 23:38

score 34 · Answer 2 · 2020-07-23 02:54:56

34

Views

Invariance of a measure under a one-parameter subgroup.

Published on 23 Jul 2020 - 2:54

score 356 · Answer 3 · 2020-07-23 21:26:56

356

Views

Relations between two definitions of Lie algebra

Published on 23 Jul 2020 - 21:26

score 123 · Answer 4 · 2020-07-25 16:20:45

123

Views

Classifying real (simple) Lie groups and Lie algebras of small dimension

Published on 25 Jul 2020 - 16:20

score 241 · Answer 5 · 2020-07-26 04:26:20

241

Views

why we need to, with exponential maps, make a link between a tangent space and the manifold?

Published on 26 Jul 2020 - 4:26

score 399 · Answer 6 · 2026-03-30 01:28:16

399

Views

When is a Lie group action is a local diffeomorphism?

Published on 30 Mar 2026 - 1:28

score 77 · Answer 7 · 2026-03-26 14:24:51

77

Views

when does Lie group homomorphism preserve the Haar measure?

Published on 26 Mar 2026 - 14:24

score 350 · Answer 8 · 2026-03-28 01:25:51

350

Views

Prove that any semisimple Lie algebra can be generated with two elements

Published on 28 Mar 2026 - 1:25

score 207 · Answer 9 · 2026-03-27 00:10:25

207

Views

Covering spaces and fibre bundles, using the of $SU(2)$ and $SO(3)$

Published on 27 Mar 2026 - 0:10

score 43 · Answer 10 · 2026-03-27 18:38:12

43

Views

Which matrices in $\operatorname{SL}_2(\mathbb R)$ have orthogonal squares?

Published on 27 Mar 2026 - 18:38

score 113 · Answer 11 · 2026-03-26 04:36:26

113

Views

Which solvable Lie algebras / groups occur as Borel of semisimple Lie algebras / groups?

Published on 26 Mar 2026 - 4:36

score 78 · Answer 12 · 2026-03-25 08:12:50

78

Views

How to show that $\begin{pmatrix} 0 & -x \\\ 1/x & 0\end{pmatrix}$ is conjugate to a rotation?

Published on 25 Mar 2026 - 8:12

score 473 · Answer 13 · 2020-07-29 20:25:33

473

Views

Decompose $SO(8)$ and $Spin(8)$ 8 dimensional representations to $SO(m)$ and $SO(n)$

Published on 29 Jul 2020 - 20:25

score 89 · Answer 14 · 2020-07-29 21:51:04

89

Views

(8) 8 dimensional representations and mutation

Published on 29 Jul 2020 - 21:51

score 38 · Answer 15 · 2020-07-30 02:27:55

38

Views

Smoothness of the flow associated to the one-parameter subgroup of Lie group

Published on 30 Jul 2020 - 2:27

List Question

Invariant $SU(3)$ subgroup for ${\bf 8}$ in ${\bf 3}^* \otimes {\bf 3} ={\bf 1} \oplus {\bf 8}$

Invariance of a measure under a one-parameter subgroup.

Relations between two definitions of Lie algebra

Classifying real (simple) Lie groups and Lie algebras of small dimension

why we need to, with exponential maps, make a link between a tangent space and the manifold?

When is a Lie group action is a local diffeomorphism?

when does Lie group homomorphism preserve the Haar measure?

Prove that any semisimple Lie algebra can be generated with two elements

Covering spaces and fibre bundles, using the of $SU(2)$ and $SO(3)$

Which matrices in $\operatorname{SL}_2(\mathbb R)$ have orthogonal squares?

Which solvable Lie algebras / groups occur as Borel of semisimple Lie algebras / groups?

How to show that $\begin{pmatrix} 0 & -x \\\ 1/x & 0\end{pmatrix}$ is conjugate to a rotation?

Decompose $SO(8)$ and $Spin(8)$ 8 dimensional representations to $SO(m)$ and $SO(n)$

(8) 8 dimensional representations and mutation

Smoothness of the flow associated to the one-parameter subgroup of Lie group

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