Question

Prove that a compact complex Lie subgroup of $GL(n, \mathbb{C})$ is finite.

score 47 · Answer 1 · 2026-04-16 22:41:51

47

Views

Prove that a compact complex Lie subgroup of $GL(n, \mathbb{C})$ is finite.

Published on 16 Apr 2026 - 22:41

score 101 · Answer 2 · 2026-04-16 17:10:18

101

Views

$D:\operatorname{Aut}(G)\to\operatorname{Aut}(\mathfrak g)$ is an injective group homomorphism.

Published on 16 Apr 2026 - 17:10

score 76 · Answer 3 · 2026-04-17 13:35:07

76

Views

If $(T_e(f_n))_{n=1}^{\infty}$ converges, prove: $\exists$ the limit of$(f_n)$ in Aut(G) as cont. smooth automor. of $G$ with $G$ a connected Lie grp

Published on 17 Apr 2026 - 13:35

score 46 · Answer 4 · 2026-03-20 17:07:20

46

Views

Show that this irreducible representation is faithful

Published on 20 Mar 2026 - 17:07

score 57 · Answer 5 · 2026-04-14 11:35:06

57

Views

An example in which $\dim \operatorname{Aut}(G) < \dim \operatorname{Aut}(\mathfrak g)$

Published on 14 Apr 2026 - 11:35

score 26 · Answer 6 · 2026-03-25 04:43:59

26

Views

Levi subgroups of exceptional (complex) Lie groups (reference request)

Published on 25 Mar 2026 - 4:43

score 46 · Answer 7 · 2026-04-17 13:35:08

46

Views

$\Psi(\operatorname{Aut}(G))$ is a closed subgrp of $\operatorname{Aut}(\mathfrak g)$ in the construction of a Lie grp structure of Aut$(G)$

Published on 17 Apr 2026 - 13:35

score 85 · Answer 8 · 2026-04-10 23:27:49

85

Views

Categorial connection between SU(2) and SU(3)

Published on 10 Apr 2026 - 23:27

score 91 · Answer 9 · 2026-04-12 19:51:25

91

Views

Show that the trace bilinear form is nondegenerate

Published on 12 Apr 2026 - 19:51

score 44 · Answer 10 · 2026-04-17 13:21:25

44

Views

Baker-Campbell-Hausdorff series for sums of vectors.

Published on 17 Apr 2026 - 13:21

score 46 · Answer 11 · 2026-03-26 06:27:42

46

Views

simply connected Lie groups are isomorphic iff locally isomorphic

Published on 26 Mar 2026 - 6:27

score 87 · Answer 12 · 2026-04-17 12:45:56

87

Views

Why Does Matrix Logarithm in SciPy Yield Correct Results When Eigen Does Not for SL(3, R)?

Published on 17 Apr 2026 - 12:45

score 64 · Answer 13 · 2026-04-11 16:01:33

64

Views

How do you prove that a the limit of a sequence of Lie group automorphisms is continuous in the whole connected component of the identity?

Published on 11 Apr 2026 - 16:01

score 85 · Answer 14 · 2026-03-25 16:08:30

85

Views

Is the total space of a $ G $ principal bundle over a compact homogeneous space always itself homogeneous?

Published on 25 Mar 2026 - 16:08

score 120 · Answer 15 · 2026-04-17 17:01:43

120

Views

Eigenvalue of a Casimir Element

Published on 17 Apr 2026 - 17:01

List Question

Prove that a compact complex Lie subgroup of $GL(n, \mathbb{C})$ is finite.

$D:\operatorname{Aut}(G)\to\operatorname{Aut}(\mathfrak g)$ is an injective group homomorphism.

If $(T_e(f_n))_{n=1}^{\infty}$ converges, prove: $\exists$ the limit of$(f_n)$ in Aut(G) as cont. smooth automor. of $G$ with $G$ a connected Lie grp

Show that this irreducible representation is faithful

An example in which $\dim \operatorname{Aut}(G) < \dim \operatorname{Aut}(\mathfrak g)$

Levi subgroups of exceptional (complex) Lie groups (reference request)

$\Psi(\operatorname{Aut}(G))$ is a closed subgrp of $\operatorname{Aut}(\mathfrak g)$ in the construction of a Lie grp structure of Aut$(G)$

Categorial connection between SU(2) and SU(3)

Show that the trace bilinear form is nondegenerate

Baker-Campbell-Hausdorff series for sums of vectors.

simply connected Lie groups are isomorphic iff locally isomorphic

Why Does Matrix Logarithm in SciPy Yield Correct Results When Eigen Does Not for SL(3, R)?

How do you prove that a the limit of a sequence of Lie group automorphisms is continuous in the whole connected component of the identity?

Is the total space of a $ G $ principal bundle over a compact homogeneous space always itself homogeneous?

Eigenvalue of a Casimir Element

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