List questions from lie-groups

Published on 28 Aug 2016 - 15:22

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Motivation for Studying Nilpotent and Solvable Lie Algebras

Published on 25 Mar 2026 - 12:54

752

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Number of generators of O(N)?

Published on 29 Aug 2016 - 6:26

149

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$\{g \cdot a \cdot g^{-1} : g \in \text{GL}_n(\mathbb{R})\}$ closed in $\text{M}_m(\mathbb{R})$ iff $a$ semisimple?

Published on 29 Aug 2016 - 9:52

133

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Matrix groups, exists regular element?

Published on 29 Aug 2016 - 15:51

211

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Quickest self-contained way of finding $\pi_1(\text{SU}(2))$ and $\pi_1(\text{SO}(3))$?

Published on 29 Aug 2016 - 22:51

274

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Question about stereographic projection, $\text{SU}(2)$.

Published on 30 Aug 2016 - 10:47

207

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Is there a non-injective trace-preserving endomorphism of a matrix group?

Published on 31 Aug 2016 - 3:22

1.1k

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Among Lie groups, why study the semisimple ones?

Published on 31 Aug 2016 - 9:27

309

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What's the Haar measure of non semi-simple Lie group?

Published on 31 Aug 2016 - 16:56

2.1k

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Weights of representations of $sl(n,c)$

Published on 31 Aug 2016 - 23:33

1.4k

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Of rotations, $S^2$, the Riemann sphere, $\text{SU}(2)$, $\text{SO}(3)$, and the precise relationship between two maps.

Published on 30 Mar 2026 - 7:08

2k

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Symmetric powers and alternating powers are irreducible modules over the general linear Lie algebra $\mathfrak{gl}(n)$

Published on 02 Sep 2016 - 8:23

152

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Is the Lie derivative of a harmonic form also a harmonic form?

Published on 26 Mar 2026 - 9:42

252

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Definition of (g,K)-module

Published on 04 Sep 2016 - 15:18

List Question

Lie algebra of $\operatorname{GL}_n\mathbb{R}$

Motivation for Studying Nilpotent and Solvable Lie Algebras

Number of generators of O(N)?

$\{g \cdot a \cdot g^{-1} : g \in \text{GL}_n(\mathbb{R})\}$ closed in $\text{M}_m(\mathbb{R})$ iff $a$ semisimple?

Matrix groups, exists regular element?

Quickest self-contained way of finding $\pi_1(\text{SU}(2))$ and $\pi_1(\text{SO}(3))$?

Question about stereographic projection, $\text{SU}(2)$.

Is there a non-injective trace-preserving endomorphism of a matrix group?

Among Lie groups, why study the semisimple ones?

What's the Haar measure of non semi-simple Lie group?

Weights of representations of $sl(n,c)$

Of rotations, $S^2$, the Riemann sphere, $\text{SU}(2)$, $\text{SO}(3)$, and the precise relationship between two maps.

Symmetric powers and alternating powers are irreducible modules over the general linear Lie algebra $\mathfrak{gl}(n)$

Is the Lie derivative of a harmonic form also a harmonic form?

Definition of (g,K)-module

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