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http://hdl.handle.net/2445/195103
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DC Field | Value | Language |
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dc.contributor.author | Barajas Ayuso, Guillermo | - |
dc.contributor.author | García-Prada, Oscar | - |
dc.contributor.author | Gothen, Peter | - |
dc.contributor.author | Mundet i Riera, Ignasi | - |
dc.date.accessioned | 2023-03-13T09:58:53Z | - |
dc.date.available | 2023-03-13T09:58:53Z | - |
dc.date.issued | 2023-01-18 | - |
dc.identifier.issn | 0046-5755 | - |
dc.identifier.uri | http://hdl.handle.net/2445/195103 | - |
dc.description.abstract | Let $\Gamma$ be a finite group acting on a Lie group $G$. We consider a class of group extensions $1 \rightarrow G \rightarrow \hat{G} \rightarrow \Gamma \rightarrow 1$ defined by this action and a 2-cocycle of $\Gamma$ with values in the centre of $G$. We establish and study a correspondence between $\hat{G}$-bundles on a manifold and twisted $\Gamma$-equivariant bundles with structure group $G$ on a suitable Galois $\Gamma$-covering of the manifold. We also describe this correspondence in terms of non-abelian cohomology. Our results apply, in particular, to the case of a compact or reductive complex Lie group $G$, since such a group is always isomorphic to an extension as above, where $G$ is the connected component of the identity and $\Gamma$ is the group of connected components of $\hat{G}$. | - |
dc.format.extent | 41 p. | - |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer Verlag | - |
dc.relation.isformatof | Reproducció del document publicat a: https://doi.org/10.1007/s10711-022-00764-w | - |
dc.relation.ispartof | Geometriae Dedicata, 2023, vol. 217 | - |
dc.relation.uri | https://doi.org/10.1007/s10711-022-00764-w | - |
dc.rights | cc by (c) Guillermo Barajas Ayuso, et al., 2023 | - |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | * |
dc.source | Articles publicats en revistes (Matemàtiques i Informàtica) | - |
dc.subject.classification | Grups de Lie | - |
dc.subject.classification | Corbes algebraiques | - |
dc.subject.classification | Geometria diferencial | - |
dc.subject.classification | Anàlisi global (Matemàtica) | - |
dc.subject.other | Lie groups | - |
dc.subject.other | Algebraic curves | - |
dc.subject.other | Differential geometry | - |
dc.subject.other | Global analysis (Mathematics) | - |
dc.title | Non-connected Lie groups, twisted equivariant bundles and coverings | - |
dc.type | info:eu-repo/semantics/article | - |
dc.type | info:eu-repo/semantics/publishedVersion | - |
dc.identifier.idgrec | 732149 | - |
dc.date.updated | 2023-03-13T09:58:53Z | - |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | - |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
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732149.pdf | 580.57 kB | Adobe PDF | View/Open |
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