Question

Where is my mistake: determining the Lie algebra of complex orthogonal matrices

score 126 · Answer 1 · 2026-04-16 16:42:35

126

Views

Where is my mistake: determining the Lie algebra of complex orthogonal matrices

Published on 16 Apr 2026 - 16:42

score 57 · Answer 2 · 2026-04-14 06:01:51

57

Views

Do I have the right idea for this isomorphism of Lie algebras of matrix groups?

Published on 14 Apr 2026 - 6:01

score 753 · Answer 3 · 2026-04-16 07:58:25

753

Views

Lie algebra of the semiorthogonal group $O(p,q)$

Published on 16 Apr 2026 - 7:58

score 104 · Answer 4 · 2026-04-15 13:58:41

104

Views

Determining Lie algebra: are my thoughts correct?

Published on 15 Apr 2026 - 13:58

score 283 · Answer 5 · 2026-04-13 07:13:53

283

Views

Weights of universal enveloping algebra

Published on 13 Apr 2026 - 7:13

score 1.1k · Answer 6 · 2026-04-14 09:28:26

1.1k

Views

Is a Lie algebra a complex or a real vector space?

Published on 14 Apr 2026 - 9:28

score 74 · Answer 7 · 2026-04-16 09:37:53

74

Views

Equivalences between categories $\mathcal{K}^b(\text{Injectives})$ and $\mathcal{D}^b(\mathcal A)$ if $\mathcal{A}$ has enough injectives

Published on 16 Apr 2026 - 9:37

score 3k · Answer 8 · 2026-04-15 00:16:11

3k

Views

Relation between two sets of generators of SO(3)

Published on 15 Apr 2026 - 0:16

score 659 · Answer 9 · 2026-04-13 16:06:15

659

Views

Center of compact lie group closed?

Published on 13 Apr 2026 - 16:06

score 49 · Answer 10 · 2026-04-15 08:50:16

49

Views

Determining whether a Lie algebra is also a complex Lie algebra

Published on 15 Apr 2026 - 8:50

score 455 · Answer 11 · 2026-04-16 03:58:04

455

Views

Defining an isomorphism that respects the Lie bracket: is my work correct?

Published on 16 Apr 2026 - 3:58

score 1.2k · Answer 12 · 2026-04-11 17:48:05

1.2k

Views

Is the exponential map ever not injective?

Published on 11 Apr 2026 - 17:48

score 40 · Answer 13 · 2026-04-15 19:41:05

40

Views

If $[A,B], A \in \mathcal{L}$ then does this imply that $B \in \mathcal{L}$?

Published on 15 Apr 2026 - 19:41

score 148 · Answer 14 · 2026-04-14 10:10:47

148

Views

Lie subalgebras of $so(3)$ and complex Lie subalgebras of $sl(2,\mathbb{C})$.

Published on 14 Apr 2026 - 10:10

score 79 · Answer 15 · 2026-04-10 10:41:49

79

Views

When did the notion of the tangent space emerge?

Published on 10 Apr 2026 - 10:41

List Question

Where is my mistake: determining the Lie algebra of complex orthogonal matrices

Do I have the right idea for this isomorphism of Lie algebras of matrix groups?

Lie algebra of the semiorthogonal group $O(p,q)$

Determining Lie algebra: are my thoughts correct?

Weights of universal enveloping algebra

Is a Lie algebra a complex or a real vector space?

Equivalences between categories $\mathcal{K}^b(\text{Injectives})$ and $\mathcal{D}^b(\mathcal A)$ if $\mathcal{A}$ has enough injectives

Relation between two sets of generators of SO(3)

Center of compact lie group closed?

Determining whether a Lie algebra is also a complex Lie algebra

Defining an isomorphism that respects the Lie bracket: is my work correct?

Is the exponential map ever not injective?

If $[A,B], A \in \mathcal{L}$ then does this imply that $B \in \mathcal{L}$?

Lie subalgebras of $so(3)$ and complex Lie subalgebras of $sl(2,\mathbb{C})$.

When did the notion of the tangent space emerge?

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