Question

Every map between Lie algebras is the differential of a map between the respective Lie groups

score 54 · Answer 1 · 2023-05-01 20:26:45

54

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Every map between Lie algebras is the differential of a map between the respective Lie groups

Published on 01 May 2023 - 20:26

score 111 · Answer 2 · 2026-04-11 05:33:30

111

Views

Bruhat decomposition with an example

Published on 11 Apr 2026 - 5:33

score 86 · Answer 3 · 2023-05-02 06:56:21

86

Views

The relation between the irreducible representations of $SO(3)$ and totally symmetric tensor?

Published on 02 May 2023 - 6:56

score 45 · Answer 4 · 2026-03-30 10:44:04

45

Views

When is a sum of two real roots of a symmetrizable Kac-Moody algebra is again a real root?

Published on 30 Mar 2026 - 10:44

score 59 · Answer 5 · 2026-04-11 17:05:16

59

Views

What is the pullback of the adjoint representation on a Lie algebra?

Published on 11 Apr 2026 - 17:05

score 58 · Answer 6 · 2026-03-27 14:22:24

58

Views

Application of a basis of the Lie algebra on the Lie exponential

Published on 27 Mar 2026 - 14:22

score 133 · Answer 7 · 2026-04-11 10:39:08

133

Views

Question 1: Using only the language of high school linear algebra, how does one find the generators of SU(2)?

Published on 11 Apr 2026 - 10:39

score 32 · Answer 8 · 2026-03-25 15:59:55

32

Views

Malcev endomorphism rigidity theorem for 1-connected nilpotent real Lie group?

Published on 25 Mar 2026 - 15:59

score 99 · Answer 9 · 2026-04-11 22:49:45

99

Views

Given a Lie algebra, it is possible to know if finite dimensional representation exists?

Published on 11 Apr 2026 - 22:49

score 46 · Answer 10 · 2026-04-12 01:45:50

46

Views

Induced homomorphism on Lie algebras and exponential map

Published on 12 Apr 2026 - 1:45

score 156 · Answer 11 · 2026-03-27 23:48:32

156

Views

Correspondence between ideals of Lie algebra and connected normal subgroups of connected algebraic group

Published on 27 Mar 2026 - 23:48

score 43 · Answer 12 · 2026-03-25 14:36:48

43

Views

Inverse of Riemannian exponential in locally symmetric space

Published on 25 Mar 2026 - 14:36

score 30 · Answer 13 · 2023-05-08 02:15:00

30

Views

Is the Lie algebra of any one-parameter group the same [X,X] = 0?

Published on 08 May 2023 - 2:15

score 177 · Answer 14 · 2023-05-08 04:52:11

177

Views

Why is the exponential map defined as the integral curve evaluated at 1?

Published on 08 May 2023 - 4:52

score 61 · Answer 15 · 2023-05-09 07:46:03

61

Views

Vector space of differentiable functions generated by linear functions

Published on 09 May 2023 - 7:46

List Question

Every map between Lie algebras is the differential of a map between the respective Lie groups

Bruhat decomposition with an example

The relation between the irreducible representations of $SO(3)$ and totally symmetric tensor?

When is a sum of two real roots of a symmetrizable Kac-Moody algebra is again a real root?

What is the pullback of the adjoint representation on a Lie algebra?

Application of a basis of the Lie algebra on the Lie exponential

Question 1: Using only the language of high school linear algebra, how does one find the generators of SU(2)?

Malcev endomorphism rigidity theorem for 1-connected nilpotent real Lie group?

Given a Lie algebra, it is possible to know if finite dimensional representation exists?

Induced homomorphism on Lie algebras and exponential map

Correspondence between ideals of Lie algebra and connected normal subgroups of connected algebraic group

Inverse of Riemannian exponential in locally symmetric space

Is the Lie algebra of any one-parameter group the same [X,X] = 0?

Why is the exponential map defined as the integral curve evaluated at 1?

Vector space of differentiable functions generated by linear functions

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