Question

Radical of $\mathfrak{gl}_n$

score 1.9k · Answer 1 · 2026-04-10 20:15:37

1.9k

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Radical of $\mathfrak{gl}_n$

Published on 10 Apr 2026 - 20:15

score 2.1k · Answer 2 · 2026-04-11 17:11:26

2.1k

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Structure constants of Lie algebra

Published on 11 Apr 2026 - 17:11

score 434 · Answer 3 · 2026-04-14 07:07:39

434

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Complicated calculation on Lie bracket and wedge product

Published on 14 Apr 2026 - 7:07

score 262 · Answer 4 · 2026-04-13 23:26:41

262

Views

Character of half-spin representation

Published on 13 Apr 2026 - 23:26

score 58 · Answer 5 · 2026-04-12 20:22:34

58

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Relationship between representations of $\mathfrak{sl}_{2n}\mathbb{C}$ and $\mathfrak{sp}_{2n}\mathbb{C}$

Published on 12 Apr 2026 - 20:22

score 806 · Answer 6 · 2026-04-11 16:45:48

806

Views

How to compute the adjoint action?

Published on 11 Apr 2026 - 16:45

score 109 · Answer 7 · 2026-04-16 10:38:49

109

Views

Find a $1$-form $ω$ on $\mathbb R^2 −\{(0,0)\}$ such that $ω(X) = 1$ and $ω(Y) = 0$.

Published on 16 Apr 2026 - 10:38

score 25 · Answer 8 · 2026-04-14 00:32:57

25

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Is the application $D(R_p\circ \imath)(e):\mathfrak{h}\rightarrow T_p\mathcal{L}_p$ an isomorphism?

Published on 14 Apr 2026 - 0:32

score 68 · Answer 9 · 2026-04-16 13:03:52

68

Views

If $\mathbf{X}_1$ and $\mathbf{X}_2$ are symmetries, then so is $[\mathbf{X}_1,\mathbf{X}_2]$.

Published on 16 Apr 2026 - 13:03

score 55 · Answer 10 · 2026-04-15 12:40:37

55

Views

To what extent are formulas obtained in one Lie group valid in another Lie group with an isomorphic Lie algebra?

Published on 15 Apr 2026 - 12:40

score 188 · Answer 11 · 2026-04-10 06:12:51

188

Views

Proof of Lie theorem on solvable Lie algebra

Published on 10 Apr 2026 - 6:12

score 627 · Answer 12 · 2026-04-15 07:23:02

627

Views

Show that $\exp: \mathfrak{sl}(n,\mathbb R)\to \operatorname{SL}(n,\mathbb R)$ is not surjective

Published on 15 Apr 2026 - 7:23

score 162 · Answer 13 · 2026-04-14 05:41:36

162

Views

Lie subalgebra, Lie subgroup and membership

Published on 14 Apr 2026 - 5:41

score 2.2k · Answer 14 · 2026-04-15 00:26:23

2.2k

Views

Are (semi)-simple Lie algebras not solvable?

Published on 15 Apr 2026 - 0:26

score 1.2k · Answer 15 · 2026-04-15 11:41:41

1.2k

Views

The normalizer of a proper sub-algebra properly contains the sub-algebra in a nilpotent Lie algebra.

Published on 15 Apr 2026 - 11:41

List Question

Radical of $\mathfrak{gl}_n$

Structure constants of Lie algebra

Complicated calculation on Lie bracket and wedge product

Character of half-spin representation

Relationship between representations of $\mathfrak{sl}_{2n}\mathbb{C}$ and $\mathfrak{sp}_{2n}\mathbb{C}$

How to compute the adjoint action?

Find a $1$-form $ω$ on $\mathbb R^2 −\{(0,0)\}$ such that $ω(X) = 1$ and $ω(Y) = 0$.

Is the application $D(R_p\circ \imath)(e):\mathfrak{h}\rightarrow T_p\mathcal{L}_p$ an isomorphism?

If $\mathbf{X}_1$ and $\mathbf{X}_2$ are symmetries, then so is $[\mathbf{X}_1,\mathbf{X}_2]$.

To what extent are formulas obtained in one Lie group valid in another Lie group with an isomorphic Lie algebra?

Proof of Lie theorem on solvable Lie algebra

Show that $\exp: \mathfrak{sl}(n,\mathbb R)\to \operatorname{SL}(n,\mathbb R)$ is not surjective

Lie subalgebra, Lie subgroup and membership

Are (semi)-simple Lie algebras not solvable?

The normalizer of a proper sub-algebra properly contains the sub-algebra in a nilpotent Lie algebra.

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