Question

How is the coadjoint action of $\mathfrak {g}^{\ast}$ on $\mathfrak {g}$ defined?

score 72 · Answer 1 · 2026-03-20 12:21:27

72

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How is the coadjoint action of $\mathfrak {g}^{\ast}$ on $\mathfrak {g}$ defined?

Published on 20 Mar 2026 - 12:21

score 138 · Answer 2 · 2023-01-30 21:35:05

138

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Question about structures of $SO(3)$ and the elements in $SO(3)$

Published on 30 Jan 2023 - 21:35

score 80 · Answer 3 · 2026-04-08 18:23:12

80

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How do we prove that $H$ is a Lie group?

Published on 08 Apr 2026 - 18:23

score 141 · Answer 4 · 2023-02-01 23:05:26

141

Views

Are Casimir elements $\mathfrak {g}$-invariant?

Published on 01 Feb 2023 - 23:05

score 39 · Answer 5 · 2026-04-10 23:25:58

39

Views

Subspace in which the subgroup acts

Published on 10 Apr 2026 - 23:25

score 269 · Answer 6 · 2023-02-04 23:33:33

269

Views

Double Covering of $SU(2) \times SU(2) \rightarrow SO(4)$

Published on 04 Feb 2023 - 23:33

score 63 · Answer 7 · 2023-02-06 18:40:25

63

Views

About determinations of the log in SE(3) (or SE(n))

Published on 06 Feb 2023 - 18:40

score 70 · Answer 8 · 2026-03-20 19:02:26

70

Views

What is Casimir tensor corresponding to a non-degenerate invariant bilinear form?

Published on 20 Mar 2026 - 19:02

score 82 · Answer 9 · 2026-03-26 12:52:55

82

Views

A question on root system projected down orthogonally onto a subspace

Published on 26 Mar 2026 - 12:52

score 80 · Answer 10 · 2026-04-09 05:33:37

80

Views

Show that $\mathfrak n_- \simeq \mathfrak n_+^{\ast}$ and $\mathfrak h \simeq \mathfrak {h}^{\ast}.$

Published on 09 Apr 2026 - 5:33

score 57 · Answer 11 · 2026-03-20 17:07:20

57

Views

What are the $\mathfrak {g}$-invariant elements of $\mathfrak g \otimes \mathfrak g\ $?

Published on 20 Mar 2026 - 17:07

score 64 · Answer 12 · 2026-03-26 12:53:05

64

Views

Not all nonnegative integer combinations of simple roots are dominant weights

Published on 26 Mar 2026 - 12:53

score 86 · Answer 13 · 2023-02-09 16:27:25

86

Views

Show that the Lie algebra of $GL_n$ is $gl_n$

Published on 09 Feb 2023 - 16:27

score 245 · Answer 14 · 2023-02-10 15:07:47

245

Views

A perfect finite dimensional Lie algebra with nontrivial center

Published on 10 Feb 2023 - 15:07

score 88 · Answer 15 · 2026-04-10 11:18:44

88

Views

Compact and connected exceptional Lie group $G_2$

Published on 10 Apr 2026 - 11:18

List Question

How is the coadjoint action of $\mathfrak {g}^{\ast}$ on $\mathfrak {g}$ defined?

Question about structures of $SO(3)$ and the elements in $SO(3)$

How do we prove that $H$ is a Lie group?

Are Casimir elements $\mathfrak {g}$-invariant?

Subspace in which the subgroup acts

Double Covering of $SU(2) \times SU(2) \rightarrow SO(4)$

About determinations of the log in SE(3) (or SE(n))

What is Casimir tensor corresponding to a non-degenerate invariant bilinear form?

A question on root system projected down orthogonally onto a subspace

Show that $\mathfrak n_- \simeq \mathfrak n_+^{\ast}$ and $\mathfrak h \simeq \mathfrak {h}^{\ast}.$

What are the $\mathfrak {g}$-invariant elements of $\mathfrak g \otimes \mathfrak g\ $?

Not all nonnegative integer combinations of simple roots are dominant weights

Show that the Lie algebra of $GL_n$ is $gl_n$

A perfect finite dimensional Lie algebra with nontrivial center

Compact and connected exceptional Lie group $G_2$

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