Question

Homomorphism of Differentials

score 55 · Answer 1 · 2026-04-12 06:20:12

55

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Homomorphism of Differentials

Published on 12 Apr 2026 - 6:20

score 80 · Answer 2 · 2026-04-10 14:47:07

80

Views

How to find an ideal in a Lie subalgebra?

Published on 10 Apr 2026 - 14:47

score 41 · Answer 3 · 2023-09-17 14:50:20

41

Views

The isomorphism with SO(2,1)

Published on 17 Sep 2023 - 14:50

score 133 · Answer 4 · 2026-03-25 18:49:49

133

Views

Inducing a Lie algebra action from a Lie group action

Published on 25 Mar 2026 - 18:49

score 76 · Answer 5 · 2026-03-25 19:06:18

76

Views

Trace Polynomial of $\mathfrak{sl}(2, F)$ — Example in Section 23.3 in Humphreys Lie algebras book

Published on 25 Mar 2026 - 19:06

score 40 · Answer 6 · 2026-04-13 06:11:45

40

Views

How to understanding an any automorphism can be represented as a sum of even and odd ones in Dorfman's book?

Published on 13 Apr 2026 - 6:11

score 72 · Answer 7 · 2026-04-11 09:28:43

72

Views

Exponentiating a representation and Baker–Campbell–Hausdorff formula

Published on 11 Apr 2026 - 9:28

score 62 · Answer 8 · 2026-03-26 20:41:06

62

Views

Suppose $G$ is a solvable group and $|G|=n$, show that $G$ is isomorphic to a subgroup of group of upper triangular complex invertible matrices.

Published on 26 Mar 2026 - 20:41

score 70 · Answer 9 · 2026-04-01 02:00:13

70

Views

$\mathfrak{sl}(n,\mathbb{C})$ acts transitively on $\mathbb{C}^n$.

Published on 01 Apr 2026 - 2:00

score 36 · Answer 10 · 2026-04-11 16:50:02

36

Views

(Topological) Perfection of an infinite-dimensional Lie group implies the same for its Lie algebra?

Published on 11 Apr 2026 - 16:50

score 49 · Answer 11 · 2023-09-22 09:20:13

49

Views

Laplace-Beltrami on $SO(3)$

Published on 22 Sep 2023 - 9:20

score 157 · Answer 12 · 2026-03-28 09:53:36

157

Views

Kernel of an irreducible representation on the direct sum of two semisimple Lie algebras

Published on 28 Mar 2026 - 9:53

score 39 · Answer 13 · 2023-09-24 22:30:40

39

Views

Proof that projective representations are given by unitary representations of the covering group

Published on 24 Sep 2023 - 22:30

score 129 · Answer 14 · 2023-09-24 22:33:29

129

Views

Prove that $\operatorname{SL}(n,\Bbb R)$ is connected using the decomposition $\exp(A)\exp(S)$

Published on 24 Sep 2023 - 22:33

score 132 · Answer 15 · 2023-09-25 05:23:07

132

Views

Prove the flow of the left-invariant vector field $w_X$ at time $t$ is$\Phi_X^t(g)=g\exp (tX), t \in \mathbb R, g \in G$

Published on 25 Sep 2023 - 5:23

List Question

Homomorphism of Differentials

How to find an ideal in a Lie subalgebra?

The isomorphism with SO(2,1)

Inducing a Lie algebra action from a Lie group action

Trace Polynomial of $\mathfrak{sl}(2, F)$ — Example in Section 23.3 in Humphreys Lie algebras book

How to understanding an any automorphism can be represented as a sum of even and odd ones in Dorfman's book?

Exponentiating a representation and Baker–Campbell–Hausdorff formula

Suppose $G$ is a solvable group and $|G|=n$, show that $G$ is isomorphic to a subgroup of group of upper triangular complex invertible matrices.

$\mathfrak{sl}(n,\mathbb{C})$ acts transitively on $\mathbb{C}^n$.

(Topological) Perfection of an infinite-dimensional Lie group implies the same for its Lie algebra?

Laplace-Beltrami on $SO(3)$

Kernel of an irreducible representation on the direct sum of two semisimple Lie algebras

Proof that projective representations are given by unitary representations of the covering group

Prove that $\operatorname{SL}(n,\Bbb R)$ is connected using the decomposition $\exp(A)\exp(S)$

Prove the flow of the left-invariant vector field $w_X$ at time $t$ is$\Phi_X^t(g)=g\exp (tX), t \in \mathbb R, g \in G$

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