Question

When is exponential map from Lie algebra to Lie group a covering map?

score 848 · Answer 1 · 2026-03-26 07:42:30

848

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When is exponential map from Lie algebra to Lie group a covering map?

Published on 26 Mar 2026 - 7:42

score 236 · Answer 2 · 2026-03-25 15:54:45

236

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Relation between Symmetric algebra and Universal enveloping algebra as Lie algebras.

Published on 25 Mar 2026 - 15:54

score 94 · Answer 3 · 2019-04-18 10:39:42

94

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What are the possible Lie algebras of $K=\rho(\mathbb{R}^2)$, where $\rho :\mathbb{R}^2\to \text{Aff}(\mathbb{R}^2)$?

Published on 18 Apr 2019 - 10:39

score 42 · Answer 4 · 2019-04-18 17:18:07

42

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A basic example to understand the concept of "Weight"

Published on 18 Apr 2019 - 17:18

score 41 · Answer 5 · 2019-04-19 14:38:33

41

Views

$\operatorname{coker}(\phi)$ is discrete for a morphism of Lie groups

Published on 19 Apr 2019 - 14:38

score 23 · Answer 6 · 2026-03-26 06:30:12

23

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$SL_2 (\Bbb R) × SL_2 (\Bbb R)/ ± (I_2 , I_2 ) → (SO_{2,2})^\circ$

Published on 26 Mar 2026 - 6:30

score 44 · Answer 7 · 2019-04-20 14:21:56

44

Views

What is the notation $\delta$ here?

Published on 20 Apr 2019 - 14:21

score 51 · Answer 8 · 2026-03-25 13:54:14

51

Views

References for Lie algebra extensions, Poincaré

Published on 25 Mar 2026 - 13:54

score 88 · Answer 9 · 2019-04-20 18:28:39

88

Views

Lie algebras of infinite dimensional Lie groups

Published on 20 Apr 2019 - 18:28

score 16 · Answer 10 · 2019-04-21 15:38:00

16

Views

Show that $L/L'$ abelian

Published on 21 Apr 2019 - 15:38

score 68 · Answer 11 · 2019-04-21 16:42:20

68

Views

Determine the derived series of $\mathfrak{b}_n (\mathbb{C})$.

Published on 21 Apr 2019 - 16:42

score 543 · Answer 12 · 2026-03-25 04:41:31

543

Views

Getting representations of the Lie group out of representations of its Lie algebra

Published on 25 Mar 2026 - 4:41

score 121 · Answer 13 · 2019-04-22 00:24:52

121

Views

Doubt in the proof of Ado's theorem

Published on 22 Apr 2019 - 0:24

score 43 · Answer 14 · 2019-04-22 15:13:12

43

Views

Show that $\mathfrak{b}_3 (\mathbb{C}) / \mathfrak{n}_3 (\mathbb{C}) \cong \mathfrak{t}_3 (\mathbb{C})$

Published on 22 Apr 2019 - 15:13

score 64 · Answer 15 · 2019-04-22 18:32:19

64

Views

what is a left nilpotent Leibniz algebra

Published on 22 Apr 2019 - 18:32

List Question

When is exponential map from Lie algebra to Lie group a covering map?

Relation between Symmetric algebra and Universal enveloping algebra as Lie algebras.

What are the possible Lie algebras of $K=\rho(\mathbb{R}^2)$, where $\rho :\mathbb{R}^2\to \text{Aff}(\mathbb{R}^2)$?

A basic example to understand the concept of "Weight"

$\operatorname{coker}(\phi)$ is discrete for a morphism of Lie groups

$SL_2 (\Bbb R) × SL_2 (\Bbb R)/ ± (I_2 , I_2 ) → (SO_{2,2})^\circ$

What is the notation $\delta$ here?

References for Lie algebra extensions, Poincaré

Lie algebras of infinite dimensional Lie groups

Show that $L/L'$ abelian

Determine the derived series of $\mathfrak{b}_n (\mathbb{C})$.

Getting representations of the Lie group out of representations of its Lie algebra

Doubt in the proof of Ado's theorem

Show that $\mathfrak{b}_3 (\mathbb{C}) / \mathfrak{n}_3 (\mathbb{C}) \cong \mathfrak{t}_3 (\mathbb{C})$

what is a left nilpotent Leibniz algebra

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