List questions from central-extensions

Published on 22 Mar 2026 - 8:16

34

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If central extensions are isomorphic as principal bundles, are they isomorphic as extensions?

Published on 17 Apr 2023 - 22:58

80

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Reference request: Universal central extension of $\operatorname{PSl}_2(\mathbb Z)$ is the braid group $\mathcal B_3$.

Published on 24 May 2023 - 9:11

383

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What exactly is a universal central extension?

Published on 24 May 2023 - 11:28

36

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Comparing conjugacy classes in central extensions

Published on 11 Jul 2023 - 22:58

36

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Classifying central extensions of perfect groups

Published on 03 Nov 2023 - 9:00

16

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Central Extensions of the Quaternions

Published on 09 Mar 2026 - 17:52

40

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Multiplication map for centrally extended Lie group

Published on 10 Nov 2023 - 23:23

224

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Why do linear splitting maps of Lie Algebra central extensions induce cocycles?

Published on 07 Mar 2026 - 10:58

538

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Classification of projective representations in terms of linear representations of central extensions

Published on 05 Jul 2017 - 20:17

1.3k

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Central extensions versus semidirect products

Published on 19 Mar 2026 - 17:00

279

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Nilpotent groups can be constructed by means of abelian groups.

Published on 09 Dec 2020 - 17:55

108

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Quaternion group as a central extension of a $2$-group

Published on 21 Mar 2026 - 11:54

105

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Connection between central extensions and universal covering groups for projective representations

Published on 03 Apr 2022 - 11:03

136

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Group Cohomology and Pontryagin Duality

Published on 12 Apr 2022 - 7:10

List Question

Internal symmetries in abelian or non abelian groups

If central extensions are isomorphic as principal bundles, are they isomorphic as extensions?

Reference request: Universal central extension of $\operatorname{PSl}_2(\mathbb Z)$ is the braid group $\mathcal B_3$.

What exactly is a universal central extension?

Comparing conjugacy classes in central extensions

Classifying central extensions of perfect groups

Central Extensions of the Quaternions

Multiplication map for centrally extended Lie group

Why do linear splitting maps of Lie Algebra central extensions induce cocycles?

Classification of projective representations in terms of linear representations of central extensions

Central extensions versus semidirect products

Nilpotent groups can be constructed by means of abelian groups.

Quaternion group as a central extension of a $2$-group

Connection between central extensions and universal covering groups for projective representations

Group Cohomology and Pontryagin Duality

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