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  Covering groups of nonconnected topological groups and 2-groups

Rumynin, D., Vakhrameev, D., & Westaway, M. (2019). Covering groups of nonconnected topological groups and 2-groups. Communications in Algebra, 47(12), 5207-5217. doi:10.1080/00927872.2019.1612425.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-4107-9 Version Permalink: https://hdl.handle.net/21.11116/0000-0006-4108-8
Genre: Journal Article

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arXiv:1709.09728.pdf (Preprint), 164KB
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https://doi.org/10.1080/00927872.2019.1612425 (Publisher version)
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 Creators:
Rumynin, Dmitriy1, Author           
Vakhrameev, Demyan, Author
Westaway, Matthew, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Quantum Algebra, Category Theory, Group Theory
 Abstract: We investigate the universal cover of a topological group that is not necessarily connected. Its existence as a topological group is governed by a Taylor cocycle, an obstruction in 3-cohomology. Alternatively, it always exists as a topological 2-group. The splitness of this 2-group is also governed by an obstruction in 3-cohomology, a Sinh cocycle. We give explicit formulas for both obstructions and show that they are equal.

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Language(s): eng - English
 Dates: 2019
 Publication Status: Issued
 Pages: 11
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1709.09728
URI: http://arxiv.org/abs/1709.09728
DOI: 10.1080/00927872.2019.1612425
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Title: Communications in Algebra
  Abbreviation : Comm. Algebra
Source Genre: Journal
 Creator(s):
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Publ. Info: Taylor & Francis
Pages: - Volume / Issue: 47 (12) Sequence Number: - Start / End Page: 5207 - 5217 Identifier: -