List questions from lie-groups

Published on 22 May 2019 - 23:18

104

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Showing the injective map from $\mathfrak{g}$ to $U(\mathfrak{g})$.

Published on 30 Mar 2026 - 5:28

107

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Subgroups of solvable Lie groups are closed

Published on 30 Mar 2026 - 5:25

97

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Nonvanishing form in $\Omega^3(O(3))$

Published on 26 Mar 2026 - 12:47

85

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Lie Groups Homomrphism Question (Tangent Space)

Published on 25 Mar 2026 - 11:10

115

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On Properly Discontinuous Groups

Published on 25 May 2019 - 0:48

104

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If $\mathfrak{h}$ is a maximal ideal, then there exists a subalgebra $\mathfrak{l}$, such that $\mathfrak{g} = \mathfrak{h}\oplus\mathfrak{l}$

Published on 30 Mar 2026 - 5:29

79

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Lévy processes, Brownian motion and Lie groups

Published on 26 Mar 2026 - 1:07

57

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Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

Published on 26 Mar 2026 - 3:13

82

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Rediscovering the determinant by classifying invertible linear maps

Published on 27 May 2019 - 11:36

1.6k

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$\text{SL}(2,\mathbb{R})$ is homeomorphic to $S^1 \times \mathbb{R}^2$

Published on 27 May 2019 - 17:38

134

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$\text{SU}(1,1)$ acts transitively on $\mathbb D=\{z\in\mathbb C\mid |z|\lt 1\}$

Published on 28 May 2019 - 10:47

124

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Simple Lie Algebra + $Z(G) = \{1\}$ $\Rightarrow$ Simple Lie Group.

Published on 26 Mar 2026 - 7:42

535

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Discovering $\pi_1(SO(3))$

Published on 26 Mar 2026 - 2:10

342

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Structure and topology of the abelianization of $GL(n)$

Published on 30 May 2019 - 7:20

List Question

Proving a quotient of the Heisenberg group is not a matrix Lie group

Showing the injective map from $\mathfrak{g}$ to $U(\mathfrak{g})$.

Subgroups of solvable Lie groups are closed

Nonvanishing form in $\Omega^3(O(3))$

Lie Groups Homomrphism Question (Tangent Space)

On Properly Discontinuous Groups

If $\mathfrak{h}$ is a maximal ideal, then there exists a subalgebra $\mathfrak{l}$, such that $\mathfrak{g} = \mathfrak{h}\oplus\mathfrak{l}$

Lévy processes, Brownian motion and Lie groups

Does the metric of a homogeneous compact metric space lift to a metric on its group of isometries?

Rediscovering the determinant by classifying invertible linear maps

$\text{SL}(2,\mathbb{R})$ is homeomorphic to $S^1 \times \mathbb{R}^2$

$\text{SU}(1,1)$ acts transitively on $\mathbb D=\{z\in\mathbb C\mid |z|\lt 1\}$

Simple Lie Algebra + $Z(G) = \{1\}$ $\Rightarrow$ Simple Lie Group.

Discovering $\pi_1(SO(3))$

Structure and topology of the abelianization of $GL(n)$

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