Question

For Lie groups $G$ and $H$, a homomorphism $f:G\rightarrow H$ is surjective if $f_*:\mathfrak{g}\rightarrow\mathfrak{h}$ is surjective

score 1k · Answer 1 · 2026-05-13 17:46:16

For Lie groups $G$ and $H$, a homomorphism $f:G\rightarrow H$ is surjective if $f_*:\mathfrak{g}\rightarrow\mathfrak{h}$ is surjective

score 337 · Answer 2 · 2026-05-13 18:46:21

337

Views

Embedding of a Lie Algebra $\mathfrak{g}$ in its associated universal enveloping algebra

Published on 13 May 2026 - 18:46

score 180 · Answer 3 · 2026-04-11 17:20:24

180

Views

The special unitary group is a Lie Group

Published on 11 Apr 2026 - 17:20

score 48 · Answer 4 · 2026-03-26 12:33:39

48

Views

Every $SO_3$-invariant subspace contains an $SO_2$-invariant function?

Published on 26 Mar 2026 - 12:33

score 47 · Answer 5 · 2026-04-15 14:45:20

47

Views

On the nonexistence of linear actions of $PGL(k)$ on $\mathbb C^n$

Published on 15 Apr 2026 - 14:45

score 497 · Answer 6 · 2026-05-13 19:45:29

497

Views

Relationship between Cartan sub algebra and Casimir operators?

Published on 13 May 2026 - 19:45

score 36 · Answer 7 · 2026-05-13 17:45:32

36

Views

A minimal nontrivial homomorphism of $PGL(k+1) \to GL(n)$

Published on 13 May 2026 - 17:45

score 1.2k · Answer 8 · 2026-04-14 01:31:05

1.2k

Views

Finding all one-parameter subgroups of a matrix Lie group

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score 63 · Answer 9 · 2026-05-04 19:16:45

63

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The maximal connected compact submanifold of $O(n)$

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score 338 · Answer 10 · 2026-05-13 17:27:38

338

Views

Question on block decomposition in Category O

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score 235 · Answer 11 · 2026-04-12 21:32:43

235

Views

Closed under nonsingular limits is equivalent to smooth structure of a Lie group

Published on 12 Apr 2026 - 21:32

score 302 · Answer 12 · 2026-03-26 09:49:55

302

Views

Is there a natural Zariski topology on a general finite dimensional vector space?

Published on 26 Mar 2026 - 9:49

score 924 · Answer 13 · 2026-05-04 19:18:05

924

Views

Identify the kernel of an induced Lie algebra homomorphism with a Lie subalgebra

Published on 04 May 2026 - 19:18

score 2.8k · Answer 14 · 2026-04-15 04:53:43

2.8k

Views

Lie Algebra of SO(n)

Published on 15 Apr 2026 - 4:53

score 693 · Answer 15 · 2026-04-14 14:48:05

693

Views

Classifying space of semi-direct product of Lie groups

Published on 14 Apr 2026 - 14:48

List Question

For Lie groups $G$ and $H$, a homomorphism $f:G\rightarrow H$ is surjective if $f_*:\mathfrak{g}\rightarrow\mathfrak{h}$ is surjective

Embedding of a Lie Algebra $\mathfrak{g}$ in its associated universal enveloping algebra

The special unitary group is a Lie Group

Every $SO_3$-invariant subspace contains an $SO_2$-invariant function?

On the nonexistence of linear actions of $PGL(k)$ on $\mathbb C^n$

Relationship between Cartan sub algebra and Casimir operators?

A minimal nontrivial homomorphism of $PGL(k+1) \to GL(n)$

Finding all one-parameter subgroups of a matrix Lie group

The maximal connected compact submanifold of $O(n)$

Question on block decomposition in Category O

Closed under nonsingular limits is equivalent to smooth structure of a Lie group

Is there a natural Zariski topology on a general finite dimensional vector space?

Identify the kernel of an induced Lie algebra homomorphism with a Lie subalgebra

Lie Algebra of SO(n)

Classifying space of semi-direct product of Lie groups

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