From Lie algebras to Lie groups within synthetic differential geometry: Weil sprouts of Lie's third fundamental theorem
| dc.contributor.author | Nishimura, Hirokazu | |
| dc.coverage.issue | 2 | cs |
| dc.coverage.volume | 2 | cs |
| dc.date.accessioned | 2014-03-13T11:38:23Z | |
| dc.date.available | 2014-03-13T11:38:23Z | |
| dc.date.issued | 2013 | cs |
| dc.description.abstract | Weil prolongations of a Lie group are naturally Lie groups. It is not known in the theory of in nite-dimensional Lie groups how to construct a Lie group with a given Lie algebra as its Lie algebra or whether there exists such a Lie group at all. We will show in this paper how to construct some Weil prolongations of this mythical Lie group from a given Lie algebra. We will do so within our favorite framework of synthetic di erential geometry. | en |
| dc.format | text | cs |
| dc.format.extent | 135-151 | cs |
| dc.format.mimetype | application/pdf | en |
| dc.identifier.citation | Mathematics for Applications. 2013, 2, č. 2, s. 135-151. ISSN 1805-3629. | cs |
| dc.identifier.doi | 10.13164/ma.2013.11 | en |
| dc.identifier.issn | 1805-3629 | |
| dc.identifier.uri | http://hdl.handle.net/11012/28548 | |
| dc.language.iso | en | cs |
| dc.publisher | Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.relation.ispartof | Mathematics for Applications | en |
| dc.relation.uri | http://ma.fme.vutbr.cz/archiv/2_2/ma_2_2_nishimura_final.pdf | cs |
| dc.rights | © Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky | cs |
| dc.rights.access | openAccess | en |
| dc.title | From Lie algebras to Lie groups within synthetic differential geometry: Weil sprouts of Lie's third fundamental theorem | cs |
| dc.type.driver | article | en |
| dc.type.status | Peer-reviewed | en |
| dc.type.version | publishedVersion | en |
| eprints.affiliatedInstitution.department | Ústav matematiky | cs |
| eprints.affiliatedInstitution.faculty | Fakulta strojního inženýrství | cs |