List questions from lie-groups

Published on 15 Apr 2026 - 3:50

163

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Matrix multiplication in $SO(3)$ that fixes row

Published on 16 Apr 2026 - 21:50

961

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A representation of $SU(2)$ is self dual

Published on 10 Apr 2026 - 10:57

367

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How to show that $ G $ is a Lie group?

Published on 13 Apr 2026 - 7:52

167

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An existence of exponential function for a Lie algebra.

Published on 06 May 2026 - 1:25

232

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Characterization of differentiability via Lie derivatives

Published on 11 Apr 2026 - 19:35

86

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how can I show $H^1(g , Hom_C(g,M))=0$?

Published on 06 May 2026 - 1:26

313

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$X\in \mathfrak{g}$ means flow commutes with left-translation

Published on 16 Apr 2026 - 15:31

1k

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The decomposition of the exterior of the symmetric square over Lie algebra sl(3)

Published on 16 Apr 2026 - 1:16

448

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ODE system and Lie symmetries

Published on 14 Apr 2026 - 2:05

2.9k

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A left invariant vector field on a Lie group

Published on 15 Apr 2026 - 19:45

515

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Homotopy groups of some magnetic monopoles

Published on 10 Apr 2026 - 5:25

37

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$A_{2}^{T} + A_{2} < 0$ for $A_{2} =(A_{1}A_{0}^{-1})^{\alpha}A_{0}$?

Published on 14 Apr 2026 - 22:13

159

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$\pi_n(SU(2)/Z_N)\simeq?$, $\pi_n(SO(3)/Z_N)\simeq?$, $\pi_n(U(1)/Z_N)\simeq?$

Published on 15 Apr 2026 - 17:53

327

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Lie groups with structure constant $f_{abc} \neq f_{bca}$.

Published on 11 Apr 2026 - 21:52

List Question

How to show that $\mathbb{Z}[1/p]$ is a discrete subgroup of $\mathbb{R} \times \mathbb{Q}_p$?

Matrix multiplication in $SO(3)$ that fixes row

A representation of $SU(2)$ is self dual

How to show that $ G $ is a Lie group?

An existence of exponential function for a Lie algebra.

Characterization of differentiability via Lie derivatives

how can I show $H^1(g , Hom_C(g,M))=0$?

$X\in \mathfrak{g}$ means flow commutes with left-translation

The decomposition of the exterior of the symmetric square over Lie algebra sl(3)

ODE system and Lie symmetries

A left invariant vector field on a Lie group

Homotopy groups of some magnetic monopoles

$A_{2}^{T} + A_{2} < 0$ for $A_{2} =(A_{1}A_{0}^{-1})^{\alpha}A_{0}$?

$\pi_n(SU(2)/Z_N)\simeq?$, $\pi_n(SO(3)/Z_N)\simeq?$, $\pi_n(U(1)/Z_N)\simeq?$

Lie groups with structure constant $f_{abc} \neq f_{bca}$.

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